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Finding the Fourth Proportional to 10,509.31, 15,747.54 and 8,942.91

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Solution

The fourth proportional to 10,509.31, 15,747.54 and 8,942.91 is: 13,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.31 : 15,747.54 = 8,942.91 : x
  2. Step 2: Convert to fraction form
    10,509.31/15,747.54 = 8,942.91/x
  3. Step 3: Cross multiply
    10,509.31x = 15,747.54 × 8,942.91
  4. Step 4: Simplify right side
    10,509.31x = 140,828,832.94
  5. Step 5: Solve for x
    x = 140,828,832.94/10,509.31
  6. Step 6: Final answer
    x = 13,400.39

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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.