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Finding the Fourth Proportional to 10,470.89, 15,707.78 and 3,074.31

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Solution

The fourth proportional to 10,470.89, 15,707.78 and 3,074.31 is: 4,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.89 : 15,707.78 = 3,074.31 : x
  2. Step 2: Convert to fraction form
    10,470.89/15,707.78 = 3,074.31/x
  3. Step 3: Cross multiply
    10,470.89x = 15,707.78 × 3,074.31
  4. Step 4: Simplify right side
    10,470.89x = 48,290,585.13
  5. Step 5: Solve for x
    x = 48,290,585.13/10,470.89
  6. Step 6: Final answer
    x = 4,611.89

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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.