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Finding the Fourth Proportional to 10,397.78, 15,597.90 and 8,054.66

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Solution

The fourth proportional to 10,397.78, 15,597.90 and 8,054.66 is: 12,082.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.78 : 15,597.90 = 8,054.66 : x
  2. Step 2: Convert to fraction form
    10,397.78/15,597.90 = 8,054.66/x
  3. Step 3: Cross multiply
    10,397.78x = 15,597.90 × 8,054.66
  4. Step 4: Simplify right side
    10,397.78x = 125,635,781.21
  5. Step 5: Solve for x
    x = 125,635,781.21/10,397.78
  6. Step 6: Final answer
    x = 12,082.94

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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.