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Finding the Fourth Proportional to 7,881.80, 10,877.30 and 4,524.58

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Solution

The fourth proportional to 7,881.80, 10,877.30 and 4,524.58 is: 6,244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.80 : 10,877.30 = 4,524.58 : x
  2. Step 2: Convert to fraction form
    7,881.80/10,877.30 = 4,524.58/x
  3. Step 3: Cross multiply
    7,881.80x = 10,877.30 × 4,524.58
  4. Step 4: Simplify right side
    7,881.80x = 49,215,214.03
  5. Step 5: Solve for x
    x = 49,215,214.03/7,881.80
  6. Step 6: Final answer
    x = 6,244.16

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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.