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Finding the Fourth Proportional to 10,377.78, 15,580.52 and 6,168.89

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Solution

The fourth proportional to 10,377.78, 15,580.52 and 6,168.89 is: 9,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.78 : 15,580.52 = 6,168.89 : x
  2. Step 2: Convert to fraction form
    10,377.78/15,580.52 = 6,168.89/x
  3. Step 3: Cross multiply
    10,377.78x = 15,580.52 × 6,168.89
  4. Step 4: Simplify right side
    10,377.78x = 96,114,405.28
  5. Step 5: Solve for x
    x = 96,114,405.28/10,377.78
  6. Step 6: Final answer
    x = 9,261.56

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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.