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Finding the Fourth Proportional to 8,767.30, 12,098.92 and 4,788.50

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Solution

The fourth proportional to 8,767.30, 12,098.92 and 4,788.50 is: 6,608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.30 : 12,098.92 = 4,788.50 : x
  2. Step 2: Convert to fraction form
    8,767.30/12,098.92 = 4,788.50/x
  3. Step 3: Cross multiply
    8,767.30x = 12,098.92 × 4,788.50
  4. Step 4: Simplify right side
    8,767.30x = 57,935,678.42
  5. Step 5: Solve for x
    x = 57,935,678.42/8,767.30
  6. Step 6: Final answer
    x = 6,608.16

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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.