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Finding the Fourth Proportional to 8,658.72, 11,947.68 and 4,932

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Solution

The fourth proportional to 8,658.72, 11,947.68 and 4,932 is: 6,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,658.72 : 11,947.68 = 4,932 : x
  2. Step 2: Convert to fraction form
    8,658.72/11,947.68 = 4,932/x
  3. Step 3: Cross multiply
    8,658.72x = 11,947.68 × 4,932
  4. Step 4: Simplify right side
    8,658.72x = 58,925,957.76
  5. Step 5: Solve for x
    x = 58,925,957.76/8,658.72
  6. Step 6: Final answer
    x = 6,805.39

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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.