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Finding the Fourth Proportional to 11,013.97, 15,200.19 and 6,299.16

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Solution

The fourth proportional to 11,013.97, 15,200.19 and 6,299.16 is: 8,693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.97 : 15,200.19 = 6,299.16 : x
  2. Step 2: Convert to fraction form
    11,013.97/15,200.19 = 6,299.16/x
  3. Step 3: Cross multiply
    11,013.97x = 15,200.19 × 6,299.16
  4. Step 4: Simplify right side
    11,013.97x = 95,748,428.84
  5. Step 5: Solve for x
    x = 95,748,428.84/11,013.97
  6. Step 6: Final answer
    x = 8,693.36

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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.