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Finding the Fourth Proportional to 10,397.60, 15,594.75 and 3,377.78

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Solution

The fourth proportional to 10,397.60, 15,594.75 and 3,377.78 is: 5,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.60 : 15,594.75 = 3,377.78 : x
  2. Step 2: Convert to fraction form
    10,397.60/15,594.75 = 3,377.78/x
  3. Step 3: Cross multiply
    10,397.60x = 15,594.75 × 3,377.78
  4. Step 4: Simplify right side
    10,397.60x = 52,675,634.66
  5. Step 5: Solve for x
    x = 52,675,634.66/10,397.60
  6. Step 6: Final answer
    x = 5,066.13

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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.