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Finding the Fourth Proportional to 10,059.59, 13,884.41 and 7,675.76

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Solution

The fourth proportional to 10,059.59, 13,884.41 and 7,675.76 is: 10,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.59 : 13,884.41 = 7,675.76 : x
  2. Step 2: Convert to fraction form
    10,059.59/13,884.41 = 7,675.76/x
  3. Step 3: Cross multiply
    10,059.59x = 13,884.41 × 7,675.76
  4. Step 4: Simplify right side
    10,059.59x = 106,573,452.80
  5. Step 5: Solve for x
    x = 106,573,452.80/10,059.59
  6. Step 6: Final answer
    x = 10,594.21

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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.