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Finding the Fourth Proportional to 10,084.16, 15,115.04 and 7,610.96

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Solution

The fourth proportional to 10,084.16, 15,115.04 and 7,610.96 is: 11,407.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.16 : 15,115.04 = 7,610.96 : x
  2. Step 2: Convert to fraction form
    10,084.16/15,115.04 = 7,610.96/x
  3. Step 3: Cross multiply
    10,084.16x = 15,115.04 × 7,610.96
  4. Step 4: Simplify right side
    10,084.16x = 115,039,964.84
  5. Step 5: Solve for x
    x = 115,039,964.84/10,084.16
  6. Step 6: Final answer
    x = 11,407.99

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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.