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Finding the Fourth Proportional to 10,281.70, 15,425.24 and 3,617.93

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Solution

The fourth proportional to 10,281.70, 15,425.24 and 3,617.93 is: 5,427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.70 : 15,425.24 = 3,617.93 : x
  2. Step 2: Convert to fraction form
    10,281.70/15,425.24 = 3,617.93/x
  3. Step 3: Cross multiply
    10,281.70x = 15,425.24 × 3,617.93
  4. Step 4: Simplify right side
    10,281.70x = 55,807,343.34
  5. Step 5: Solve for x
    x = 55,807,343.34/10,281.70
  6. Step 6: Final answer
    x = 5,427.83

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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.