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Finding the Fourth Proportional to 8,292, 11,443.80 and 4,754.88

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Solution

The fourth proportional to 8,292, 11,443.80 and 4,754.88 is: 6,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292 : 11,443.80 = 4,754.88 : x
  2. Step 2: Convert to fraction form
    8,292/11,443.80 = 4,754.88/x
  3. Step 3: Cross multiply
    8,292x = 11,443.80 × 4,754.88
  4. Step 4: Simplify right side
    8,292x = 54,413,895.74
  5. Step 5: Solve for x
    x = 54,413,895.74/8,292
  6. Step 6: Final answer
    x = 6,562.22

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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.