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Finding the Fourth Proportional to 8,826, 12,182.16 and 5,102.16

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Solution

The fourth proportional to 8,826, 12,182.16 and 5,102.16 is: 7,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,826 : 12,182.16 = 5,102.16 : x
  2. Step 2: Convert to fraction form
    8,826/12,182.16 = 5,102.16/x
  3. Step 3: Cross multiply
    8,826x = 12,182.16 × 5,102.16
  4. Step 4: Simplify right side
    8,826x = 62,155,329.47
  5. Step 5: Solve for x
    x = 62,155,329.47/8,826
  6. Step 6: Final answer
    x = 7,042.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.