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Finding the Fourth Proportional to 8,364.87, 12,531.80 and 5,988.06

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Solution

The fourth proportional to 8,364.87, 12,531.80 and 5,988.06 is: 8,970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.87 : 12,531.80 = 5,988.06 : x
  2. Step 2: Convert to fraction form
    8,364.87/12,531.80 = 5,988.06/x
  3. Step 3: Cross multiply
    8,364.87x = 12,531.80 × 5,988.06
  4. Step 4: Simplify right side
    8,364.87x = 75,041,185.28
  5. Step 5: Solve for x
    x = 75,041,185.28/8,364.87
  6. Step 6: Final answer
    x = 8,970.99

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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.