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Finding the Fourth Proportional to 10,615.92, 15,925.80 and 4,775.28

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Solution

The fourth proportional to 10,615.92, 15,925.80 and 4,775.28 is: 7,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.92 : 15,925.80 = 4,775.28 : x
  2. Step 2: Convert to fraction form
    10,615.92/15,925.80 = 4,775.28/x
  3. Step 3: Cross multiply
    10,615.92x = 15,925.80 × 4,775.28
  4. Step 4: Simplify right side
    10,615.92x = 76,050,154.22
  5. Step 5: Solve for x
    x = 76,050,154.22/10,615.92
  6. Step 6: Final answer
    x = 7,163.78

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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.