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Finding the Fourth Proportional to 10,573.34, 14,591.01 and 6,097.28

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Solution

The fourth proportional to 10,573.34, 14,591.01 and 6,097.28 is: 8,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.34 : 14,591.01 = 6,097.28 : x
  2. Step 2: Convert to fraction form
    10,573.34/14,591.01 = 6,097.28/x
  3. Step 3: Cross multiply
    10,573.34x = 14,591.01 × 6,097.28
  4. Step 4: Simplify right side
    10,573.34x = 88,965,400.50
  5. Step 5: Solve for x
    x = 88,965,400.50/10,573.34
  6. Step 6: Final answer
    x = 8,414.13

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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.