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Finding the Fourth Proportional to 10,445.62, 14,414.98 and 5,729.92

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Solution

The fourth proportional to 10,445.62, 14,414.98 and 5,729.92 is: 7,907.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,445.62 : 14,414.98 = 5,729.92 : x
  2. Step 2: Convert to fraction form
    10,445.62/14,414.98 = 5,729.92/x
  3. Step 3: Cross multiply
    10,445.62x = 14,414.98 × 5,729.92
  4. Step 4: Simplify right side
    10,445.62x = 82,596,682.20
  5. Step 5: Solve for x
    x = 82,596,682.20/10,445.62
  6. Step 6: Final answer
    x = 7,907.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.