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Finding the Fourth Proportional to 8,269.97, 12,376.35 and 5,106.11

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Solution

The fourth proportional to 8,269.97, 12,376.35 and 5,106.11 is: 7,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.97 : 12,376.35 = 5,106.11 : x
  2. Step 2: Convert to fraction form
    8,269.97/12,376.35 = 5,106.11/x
  3. Step 3: Cross multiply
    8,269.97x = 12,376.35 × 5,106.11
  4. Step 4: Simplify right side
    8,269.97x = 63,195,004.50
  5. Step 5: Solve for x
    x = 63,195,004.50/8,269.97
  6. Step 6: Final answer
    x = 7,641.50

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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.