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Finding the Fourth Proportional to 10,478.43, 15,728.58 and 7,708.23

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Solution

The fourth proportional to 10,478.43, 15,728.58 and 7,708.23 is: 11,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.43 : 15,728.58 = 7,708.23 : x
  2. Step 2: Convert to fraction form
    10,478.43/15,728.58 = 7,708.23/x
  3. Step 3: Cross multiply
    10,478.43x = 15,728.58 × 7,708.23
  4. Step 4: Simplify right side
    10,478.43x = 121,239,512.21
  5. Step 5: Solve for x
    x = 121,239,512.21/10,478.43
  6. Step 6: Final answer
    x = 11,570.39

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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.