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Finding the Fourth Proportional to 10,141.14, 15,211.69 and 7,385.34

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Solution

The fourth proportional to 10,141.14, 15,211.69 and 7,385.34 is: 11,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.14 : 15,211.69 = 7,385.34 : x
  2. Step 2: Convert to fraction form
    10,141.14/15,211.69 = 7,385.34/x
  3. Step 3: Cross multiply
    10,141.14x = 15,211.69 × 7,385.34
  4. Step 4: Simplify right side
    10,141.14x = 112,343,502.62
  5. Step 5: Solve for x
    x = 112,343,502.62/10,141.14
  6. Step 6: Final answer
    x = 11,078.00

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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.