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Finding the Fourth Proportional to 10,437.54, 15,638.09 and 8,693.76

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Solution

The fourth proportional to 10,437.54, 15,638.09 and 8,693.76 is: 13,025.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.54 : 15,638.09 = 8,693.76 : x
  2. Step 2: Convert to fraction form
    10,437.54/15,638.09 = 8,693.76/x
  3. Step 3: Cross multiply
    10,437.54x = 15,638.09 × 8,693.76
  4. Step 4: Simplify right side
    10,437.54x = 135,953,757.85
  5. Step 5: Solve for x
    x = 135,953,757.85/10,437.54
  6. Step 6: Final answer
    x = 13,025.46

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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.