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Finding the Fourth Proportional to 11,508.46, 15,889.04 and 7,536.31

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Solution

The fourth proportional to 11,508.46, 15,889.04 and 7,536.31 is: 10,404.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,508.46 : 15,889.04 = 7,536.31 : x
  2. Step 2: Convert to fraction form
    11,508.46/15,889.04 = 7,536.31/x
  3. Step 3: Cross multiply
    11,508.46x = 15,889.04 × 7,536.31
  4. Step 4: Simplify right side
    11,508.46x = 119,744,731.04
  5. Step 5: Solve for x
    x = 119,744,731.04/11,508.46
  6. Step 6: Final answer
    x = 10,404.93

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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.