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Finding the Fourth Proportional to 10,281.96, 15,420.24 and 3,706.92

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Solution

The fourth proportional to 10,281.96, 15,420.24 and 3,706.92 is: 5,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.96 : 15,420.24 = 3,706.92 : x
  2. Step 2: Convert to fraction form
    10,281.96/15,420.24 = 3,706.92/x
  3. Step 3: Cross multiply
    10,281.96x = 15,420.24 × 3,706.92
  4. Step 4: Simplify right side
    10,281.96x = 57,161,596.06
  5. Step 5: Solve for x
    x = 57,161,596.06/10,281.96
  6. Step 6: Final answer
    x = 5,559.41

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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.