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Finding the Fourth Proportional to 8,848.86, 13,282.02 and 6,502.29

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Solution

The fourth proportional to 8,848.86, 13,282.02 and 6,502.29 is: 9,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,848.86 : 13,282.02 = 6,502.29 : x
  2. Step 2: Convert to fraction form
    8,848.86/13,282.02 = 6,502.29/x
  3. Step 3: Cross multiply
    8,848.86x = 13,282.02 × 6,502.29
  4. Step 4: Simplify right side
    8,848.86x = 86,363,545.83
  5. Step 5: Solve for x
    x = 86,363,545.83/8,848.86
  6. Step 6: Final answer
    x = 9,759.85

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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.