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Finding the Fourth Proportional to 10,442.58, 15,665.62 and 5,177.85

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Solution

The fourth proportional to 10,442.58, 15,665.62 and 5,177.85 is: 7,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.58 : 15,665.62 = 5,177.85 : x
  2. Step 2: Convert to fraction form
    10,442.58/15,665.62 = 5,177.85/x
  3. Step 3: Cross multiply
    10,442.58x = 15,665.62 × 5,177.85
  4. Step 4: Simplify right side
    10,442.58x = 81,114,230.52
  5. Step 5: Solve for x
    x = 81,114,230.52/10,442.58
  6. Step 6: Final answer
    x = 7,767.64

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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.