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Finding the Fourth Proportional to 10,497.90, 15,714.45 and 6,102.30

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Solution

The fourth proportional to 10,497.90, 15,714.45 and 6,102.30 is: 9,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.90 : 15,714.45 = 6,102.30 : x
  2. Step 2: Convert to fraction form
    10,497.90/15,714.45 = 6,102.30/x
  3. Step 3: Cross multiply
    10,497.90x = 15,714.45 × 6,102.30
  4. Step 4: Simplify right side
    10,497.90x = 95,894,288.24
  5. Step 5: Solve for x
    x = 95,894,288.24/10,497.90
  6. Step 6: Final answer
    x = 9,134.62

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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.