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Finding the Fourth Proportional to 10,536.32, 15,858.80 and 9,266.24

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Solution

The fourth proportional to 10,536.32, 15,858.80 and 9,266.24 is: 13,947.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.32 : 15,858.80 = 9,266.24 : x
  2. Step 2: Convert to fraction form
    10,536.32/15,858.80 = 9,266.24/x
  3. Step 3: Cross multiply
    10,536.32x = 15,858.80 × 9,266.24
  4. Step 4: Simplify right side
    10,536.32x = 146,951,446.91
  5. Step 5: Solve for x
    x = 146,951,446.91/10,536.32
  6. Step 6: Final answer
    x = 13,947.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.