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Finding the Fourth Proportional to 10,244.57, 15,376.86 and 5,250.92

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Solution

The fourth proportional to 10,244.57, 15,376.86 and 5,250.92 is: 7,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.57 : 15,376.86 = 5,250.92 : x
  2. Step 2: Convert to fraction form
    10,244.57/15,376.86 = 5,250.92/x
  3. Step 3: Cross multiply
    10,244.57x = 15,376.86 × 5,250.92
  4. Step 4: Simplify right side
    10,244.57x = 80,742,584.83
  5. Step 5: Solve for x
    x = 80,742,584.83/10,244.57
  6. Step 6: Final answer
    x = 7,881.50

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Why These Related Problems?

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