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Finding the Fourth Proportional to 10,468.32, 15,699.24 and 3,446.76

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Solution

The fourth proportional to 10,468.32, 15,699.24 and 3,446.76 is: 5,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.32 : 15,699.24 = 3,446.76 : x
  2. Step 2: Convert to fraction form
    10,468.32/15,699.24 = 3,446.76/x
  3. Step 3: Cross multiply
    10,468.32x = 15,699.24 × 3,446.76
  4. Step 4: Simplify right side
    10,468.32x = 54,111,512.46
  5. Step 5: Solve for x
    x = 54,111,512.46/10,468.32
  6. Step 6: Final answer
    x = 5,169.07

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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.