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Finding the Fourth Proportional to 10,501.92, 15,759.36 and 5,825.52

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Solution

The fourth proportional to 10,501.92, 15,759.36 and 5,825.52 is: 8,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.92 : 15,759.36 = 5,825.52 : x
  2. Step 2: Convert to fraction form
    10,501.92/15,759.36 = 5,825.52/x
  3. Step 3: Cross multiply
    10,501.92x = 15,759.36 × 5,825.52
  4. Step 4: Simplify right side
    10,501.92x = 91,806,466.87
  5. Step 5: Solve for x
    x = 91,806,466.87/10,501.92
  6. Step 6: Final answer
    x = 8,741.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.