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Finding the Fourth Proportional to 8,455.91, 12,686.02 and 4,948.87

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Solution

The fourth proportional to 8,455.91, 12,686.02 and 4,948.87 is: 7,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,455.91 : 12,686.02 = 4,948.87 : x
  2. Step 2: Convert to fraction form
    8,455.91/12,686.02 = 4,948.87/x
  3. Step 3: Cross multiply
    8,455.91x = 12,686.02 × 4,948.87
  4. Step 4: Simplify right side
    8,455.91x = 62,781,400.37
  5. Step 5: Solve for x
    x = 62,781,400.37/8,455.91
  6. Step 6: Final answer
    x = 7,424.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.