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Finding the Fourth Proportional to 7,164.97, 10,758.69 and 6,068.76

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Solution

The fourth proportional to 7,164.97, 10,758.69 and 6,068.76 is: 9,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.97 : 10,758.69 = 6,068.76 : x
  2. Step 2: Convert to fraction form
    7,164.97/10,758.69 = 6,068.76/x
  3. Step 3: Cross multiply
    7,164.97x = 10,758.69 × 6,068.76
  4. Step 4: Simplify right side
    7,164.97x = 65,291,853.73
  5. Step 5: Solve for x
    x = 65,291,853.73/7,164.97
  6. Step 6: Final answer
    x = 9,112.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.