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Finding the Fourth Proportional to 7,809.32, 11,714.06 and 4,520.40

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Solution

The fourth proportional to 7,809.32, 11,714.06 and 4,520.40 is: 6,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.32 : 11,714.06 = 4,520.40 : x
  2. Step 2: Convert to fraction form
    7,809.32/11,714.06 = 4,520.40/x
  3. Step 3: Cross multiply
    7,809.32x = 11,714.06 × 4,520.40
  4. Step 4: Simplify right side
    7,809.32x = 52,952,236.82
  5. Step 5: Solve for x
    x = 52,952,236.82/7,809.32
  6. Step 6: Final answer
    x = 6,780.65

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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.