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Finding the Fourth Proportional to 10,281.72, 15,414.30 and 3,703.80

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Solution

The fourth proportional to 10,281.72, 15,414.30 and 3,703.80 is: 5,552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.72 : 15,414.30 = 3,703.80 : x
  2. Step 2: Convert to fraction form
    10,281.72/15,414.30 = 3,703.80/x
  3. Step 3: Cross multiply
    10,281.72x = 15,414.30 × 3,703.80
  4. Step 4: Simplify right side
    10,281.72x = 57,091,484.34
  5. Step 5: Solve for x
    x = 57,091,484.34/10,281.72
  6. Step 6: Final answer
    x = 5,552.72

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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.