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Finding the Fourth Proportional to 8,899.17, 12,282.06 and 5,122.24

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Solution

The fourth proportional to 8,899.17, 12,282.06 and 5,122.24 is: 7,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,899.17 : 12,282.06 = 5,122.24 : x
  2. Step 2: Convert to fraction form
    8,899.17/12,282.06 = 5,122.24/x
  3. Step 3: Cross multiply
    8,899.17x = 12,282.06 × 5,122.24
  4. Step 4: Simplify right side
    8,899.17x = 62,911,647.52
  5. Step 5: Solve for x
    x = 62,911,647.52/8,899.17
  6. Step 6: Final answer
    x = 7,069.39

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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.