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Finding the Fourth Proportional to 10,457.07, 15,665.09 and 6,065.30

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Solution

The fourth proportional to 10,457.07, 15,665.09 and 6,065.30 is: 9,086.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.07 : 15,665.09 = 6,065.30 : x
  2. Step 2: Convert to fraction form
    10,457.07/15,665.09 = 6,065.30/x
  3. Step 3: Cross multiply
    10,457.07x = 15,665.09 × 6,065.30
  4. Step 4: Simplify right side
    10,457.07x = 95,013,361.73
  5. Step 5: Solve for x
    x = 95,013,361.73/10,457.07
  6. Step 6: Final answer
    x = 9,086.04

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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.