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Finding the Fourth Proportional to 10,276.48, 15,416 and 3,700.96

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Solution

The fourth proportional to 10,276.48, 15,416 and 3,700.96 is: 5,551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276.48 : 15,416 = 3,700.96 : x
  2. Step 2: Convert to fraction form
    10,276.48/15,416 = 3,700.96/x
  3. Step 3: Cross multiply
    10,276.48x = 15,416 × 3,700.96
  4. Step 4: Simplify right side
    10,276.48x = 57,053,999.36
  5. Step 5: Solve for x
    x = 57,053,999.36/10,276.48
  6. Step 6: Final answer
    x = 5,551.90

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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.