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Finding the Fourth Proportional to 8,876.40, 13,301.64 and 4,981.92

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Solution

The fourth proportional to 8,876.40, 13,301.64 and 4,981.92 is: 7,465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,876.40 : 13,301.64 = 4,981.92 : x
  2. Step 2: Convert to fraction form
    8,876.40/13,301.64 = 4,981.92/x
  3. Step 3: Cross multiply
    8,876.40x = 13,301.64 × 4,981.92
  4. Step 4: Simplify right side
    8,876.40x = 66,267,706.35
  5. Step 5: Solve for x
    x = 66,267,706.35/8,876.40
  6. Step 6: Final answer
    x = 7,465.61

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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.