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Finding the Fourth Proportional to 10,478.16, 15,717.38 and 3,458.90

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Solution

The fourth proportional to 10,478.16, 15,717.38 and 3,458.90 is: 5,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.16 : 15,717.38 = 3,458.90 : x
  2. Step 2: Convert to fraction form
    10,478.16/15,717.38 = 3,458.90/x
  3. Step 3: Cross multiply
    10,478.16x = 15,717.38 × 3,458.90
  4. Step 4: Simplify right side
    10,478.16x = 54,364,845.68
  5. Step 5: Solve for x
    x = 54,364,845.68/10,478.16
  6. Step 6: Final answer
    x = 5,188.40

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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.