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Finding the Fourth Proportional to 10,470.53, 15,708.02 and 3,074.42

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Solution

The fourth proportional to 10,470.53, 15,708.02 and 3,074.42 is: 4,612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.53 : 15,708.02 = 3,074.42 : x
  2. Step 2: Convert to fraction form
    10,470.53/15,708.02 = 3,074.42/x
  3. Step 3: Cross multiply
    10,470.53x = 15,708.02 × 3,074.42
  4. Step 4: Simplify right side
    10,470.53x = 48,292,956.94
  5. Step 5: Solve for x
    x = 48,292,956.94/10,470.53
  6. Step 6: Final answer
    x = 4,612.28

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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.