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Finding the Fourth Proportional to 10,516.32, 15,759.41 and 4,966.80

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Solution

The fourth proportional to 10,516.32, 15,759.41 and 4,966.80 is: 7,443.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.32 : 15,759.41 = 4,966.80 : x
  2. Step 2: Convert to fraction form
    10,516.32/15,759.41 = 4,966.80/x
  3. Step 3: Cross multiply
    10,516.32x = 15,759.41 × 4,966.80
  4. Step 4: Simplify right side
    10,516.32x = 78,273,812.75
  5. Step 5: Solve for x
    x = 78,273,812.75/10,516.32
  6. Step 6: Final answer
    x = 7,443.08

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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.