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Finding the Fourth Proportional to 10,573.42, 14,591.12 and 6,097.36

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Solution

The fourth proportional to 10,573.42, 14,591.12 and 6,097.36 is: 8,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.42 : 14,591.12 = 6,097.36 : x
  2. Step 2: Convert to fraction form
    10,573.42/14,591.12 = 6,097.36/x
  3. Step 3: Cross multiply
    10,573.42x = 14,591.12 × 6,097.36
  4. Step 4: Simplify right side
    10,573.42x = 88,967,311.44
  5. Step 5: Solve for x
    x = 88,967,311.44/10,573.42
  6. Step 6: Final answer
    x = 8,414.24

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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.