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Finding the Fourth Proportional to 10,298.52, 15,449.92 and 4,142.52

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Solution

The fourth proportional to 10,298.52, 15,449.92 and 4,142.52 is: 6,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.52 : 15,449.92 = 4,142.52 : x
  2. Step 2: Convert to fraction form
    10,298.52/15,449.92 = 4,142.52/x
  3. Step 3: Cross multiply
    10,298.52x = 15,449.92 × 4,142.52
  4. Step 4: Simplify right side
    10,298.52x = 64,001,602.60
  5. Step 5: Solve for x
    x = 64,001,602.60/10,298.52
  6. Step 6: Final answer
    x = 6,214.64

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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.