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Finding the Fourth Proportional to 8,471,809.40, 12,707,714.10 and 7,887,224.30

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Solution

The fourth proportional to 8,471,809.40, 12,707,714.10 and 7,887,224.30 is: 11,830,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471,809.40 : 12,707,714.10 = 7,887,224.30 : x
  2. Step 2: Convert to fraction form
    8,471,809.40/12,707,714.10 = 7,887,224.30/x
  3. Step 3: Cross multiply
    8,471,809.40x = 12,707,714.10 × 7,887,224.30
  4. Step 4: Simplify right side
    8,471,809.40x = 100,228,591,446,972.62
  5. Step 5: Solve for x
    x = 100,228,591,446,972.62/8,471,809.40
  6. Step 6: Final answer
    x = 11,830,836.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.