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Finding the Fourth Proportional to 10,390.96, 15,587.82 and 3,817.24

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Solution

The fourth proportional to 10,390.96, 15,587.82 and 3,817.24 is: 5,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.96 : 15,587.82 = 3,817.24 : x
  2. Step 2: Convert to fraction form
    10,390.96/15,587.82 = 3,817.24/x
  3. Step 3: Cross multiply
    10,390.96x = 15,587.82 × 3,817.24
  4. Step 4: Simplify right side
    10,390.96x = 59,502,450.02
  5. Step 5: Solve for x
    x = 59,502,450.02/10,390.96
  6. Step 6: Final answer
    x = 5,726.37

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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.