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Finding the Fourth Proportional to 7,180.16, 9,886.12 and 6,524.04

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Solution

The fourth proportional to 7,180.16, 9,886.12 and 6,524.04 is: 8,982.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.16 : 9,886.12 = 6,524.04 : x
  2. Step 2: Convert to fraction form
    7,180.16/9,886.12 = 6,524.04/x
  3. Step 3: Cross multiply
    7,180.16x = 9,886.12 × 6,524.04
  4. Step 4: Simplify right side
    7,180.16x = 64,497,442.32
  5. Step 5: Solve for x
    x = 64,497,442.32/7,180.16
  6. Step 6: Final answer
    x = 8,982.73

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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.