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Finding the Fourth Proportional to 8,767.67, 12,098.94 and 4,788.02

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Solution

The fourth proportional to 8,767.67, 12,098.94 and 4,788.02 is: 6,607.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.67 : 12,098.94 = 4,788.02 : x
  2. Step 2: Convert to fraction form
    8,767.67/12,098.94 = 4,788.02/x
  3. Step 3: Cross multiply
    8,767.67x = 12,098.94 × 4,788.02
  4. Step 4: Simplify right side
    8,767.67x = 57,929,966.70
  5. Step 5: Solve for x
    x = 57,929,966.70/8,767.67
  6. Step 6: Final answer
    x = 6,607.22

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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.