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Finding the Fourth Proportional to 8,488.94, 11,714.75 and 4,712.11

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Solution

The fourth proportional to 8,488.94, 11,714.75 and 4,712.11 is: 6,502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.94 : 11,714.75 = 4,712.11 : x
  2. Step 2: Convert to fraction form
    8,488.94/11,714.75 = 4,712.11/x
  3. Step 3: Cross multiply
    8,488.94x = 11,714.75 × 4,712.11
  4. Step 4: Simplify right side
    8,488.94x = 55,201,190.62
  5. Step 5: Solve for x
    x = 55,201,190.62/8,488.94
  6. Step 6: Final answer
    x = 6,502.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.