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Finding the Fourth Proportional to 10,478.60, 15,718.80 and 3,456.52

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Solution

The fourth proportional to 10,478.60, 15,718.80 and 3,456.52 is: 5,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.60 : 15,718.80 = 3,456.52 : x
  2. Step 2: Convert to fraction form
    10,478.60/15,718.80 = 3,456.52/x
  3. Step 3: Cross multiply
    10,478.60x = 15,718.80 × 3,456.52
  4. Step 4: Simplify right side
    10,478.60x = 54,332,346.58
  5. Step 5: Solve for x
    x = 54,332,346.58/10,478.60
  6. Step 6: Final answer
    x = 5,185.08

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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.