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Finding the Fourth Proportional to 10,570.88, 15,854.80 and 7,398.68

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Solution

The fourth proportional to 10,570.88, 15,854.80 and 7,398.68 is: 11,096.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.88 : 15,854.80 = 7,398.68 : x
  2. Step 2: Convert to fraction form
    10,570.88/15,854.80 = 7,398.68/x
  3. Step 3: Cross multiply
    10,570.88x = 15,854.80 × 7,398.68
  4. Step 4: Simplify right side
    10,570.88x = 117,304,591.66
  5. Step 5: Solve for x
    x = 117,304,591.66/10,570.88
  6. Step 6: Final answer
    x = 11,096.96

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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.