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Finding the Fourth Proportional to 10,057.68, 15,086.52 and 3,483.86

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Solution

The fourth proportional to 10,057.68, 15,086.52 and 3,483.86 is: 5,225.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.68 : 15,086.52 = 3,483.86 : x
  2. Step 2: Convert to fraction form
    10,057.68/15,086.52 = 3,483.86/x
  3. Step 3: Cross multiply
    10,057.68x = 15,086.52 × 3,483.86
  4. Step 4: Simplify right side
    10,057.68x = 52,559,323.57
  5. Step 5: Solve for x
    x = 52,559,323.57/10,057.68
  6. Step 6: Final answer
    x = 5,225.79

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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.