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Finding the Fourth Proportional to 8,876.16, 12,250.08 and 5,100

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Solution

The fourth proportional to 8,876.16, 12,250.08 and 5,100 is: 7,038.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,876.16 : 12,250.08 = 5,100 : x
  2. Step 2: Convert to fraction form
    8,876.16/12,250.08 = 5,100/x
  3. Step 3: Cross multiply
    8,876.16x = 12,250.08 × 5,100
  4. Step 4: Simplify right side
    8,876.16x = 62,475,408
  5. Step 5: Solve for x
    x = 62,475,408/8,876.16
  6. Step 6: Final answer
    x = 7,038.56

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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.