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Finding the Fourth Proportional to 8,971.76, 12,375.78 and 5,830.04

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Solution

The fourth proportional to 8,971.76, 12,375.78 and 5,830.04 is: 8,042.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.76 : 12,375.78 = 5,830.04 : x
  2. Step 2: Convert to fraction form
    8,971.76/12,375.78 = 5,830.04/x
  3. Step 3: Cross multiply
    8,971.76x = 12,375.78 × 5,830.04
  4. Step 4: Simplify right side
    8,971.76x = 72,151,292.43
  5. Step 5: Solve for x
    x = 72,151,292.43/8,971.76
  6. Step 6: Final answer
    x = 8,042.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.