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Finding the Fourth Proportional to 7,915.60, 11,873.42 and 5,442.94

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Solution

The fourth proportional to 7,915.60, 11,873.42 and 5,442.94 is: 8,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,915.60 : 11,873.42 = 5,442.94 : x
  2. Step 2: Convert to fraction form
    7,915.60/11,873.42 = 5,442.94/x
  3. Step 3: Cross multiply
    7,915.60x = 11,873.42 × 5,442.94
  4. Step 4: Simplify right side
    7,915.60x = 64,626,320.69
  5. Step 5: Solve for x
    x = 64,626,320.69/7,915.60
  6. Step 6: Final answer
    x = 8,164.42

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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.