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Finding the Fourth Proportional to 10,059.75, 13,882.70 and 5,643.75

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Solution

The fourth proportional to 10,059.75, 13,882.70 and 5,643.75 is: 7,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.75 : 13,882.70 = 5,643.75 : x
  2. Step 2: Convert to fraction form
    10,059.75/13,882.70 = 5,643.75/x
  3. Step 3: Cross multiply
    10,059.75x = 13,882.70 × 5,643.75
  4. Step 4: Simplify right side
    10,059.75x = 78,350,459.91
  5. Step 5: Solve for x
    x = 78,350,459.91/10,059.75
  6. Step 6: Final answer
    x = 7,788.51

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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.