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Finding the Fourth Proportional to 8,728.38, 12,044.95 and 4,749.50

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Solution

The fourth proportional to 8,728.38, 12,044.95 and 4,749.50 is: 6,554.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,728.38 : 12,044.95 = 4,749.50 : x
  2. Step 2: Convert to fraction form
    8,728.38/12,044.95 = 4,749.50/x
  3. Step 3: Cross multiply
    8,728.38x = 12,044.95 × 4,749.50
  4. Step 4: Simplify right side
    8,728.38x = 57,207,490.03
  5. Step 5: Solve for x
    x = 57,207,490.03/8,728.38
  6. Step 6: Final answer
    x = 6,554.19

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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.