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Finding the Fourth Proportional to 7,164.48, 9,891.78 and 5,482.86

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Solution

The fourth proportional to 7,164.48, 9,891.78 and 5,482.86 is: 7,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.48 : 9,891.78 = 5,482.86 : x
  2. Step 2: Convert to fraction form
    7,164.48/9,891.78 = 5,482.86/x
  3. Step 3: Cross multiply
    7,164.48x = 9,891.78 × 5,482.86
  4. Step 4: Simplify right side
    7,164.48x = 54,235,244.89
  5. Step 5: Solve for x
    x = 54,235,244.89/7,164.48
  6. Step 6: Final answer
    x = 7,570.02

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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.