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Finding the Fourth Proportional to 7,468.38, 11,210.67 and 6,732.90

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Solution

The fourth proportional to 7,468.38, 11,210.67 and 6,732.90 is: 10,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.38 : 11,210.67 = 6,732.90 : x
  2. Step 2: Convert to fraction form
    7,468.38/11,210.67 = 6,732.90/x
  3. Step 3: Cross multiply
    7,468.38x = 11,210.67 × 6,732.90
  4. Step 4: Simplify right side
    7,468.38x = 75,480,320.04
  5. Step 5: Solve for x
    x = 75,480,320.04/7,468.38
  6. Step 6: Final answer
    x = 10,106.65

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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.