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Finding the Fourth Proportional to 10,468.52, 15,696.86 and 3,446.64

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Solution

The fourth proportional to 10,468.52, 15,696.86 and 3,446.64 is: 5,168.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.52 : 15,696.86 = 3,446.64 : x
  2. Step 2: Convert to fraction form
    10,468.52/15,696.86 = 3,446.64/x
  3. Step 3: Cross multiply
    10,468.52x = 15,696.86 × 3,446.64
  4. Step 4: Simplify right side
    10,468.52x = 54,101,425.55
  5. Step 5: Solve for x
    x = 54,101,425.55/10,468.52
  6. Step 6: Final answer
    x = 5,168.01

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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.