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Finding the Fourth Proportional to 7,306.65, 10,949.01 and 4,381.74

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Solution

The fourth proportional to 7,306.65, 10,949.01 and 4,381.74 is: 6,566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.65 : 10,949.01 = 4,381.74 : x
  2. Step 2: Convert to fraction form
    7,306.65/10,949.01 = 4,381.74/x
  3. Step 3: Cross multiply
    7,306.65x = 10,949.01 × 4,381.74
  4. Step 4: Simplify right side
    7,306.65x = 47,975,715.08
  5. Step 5: Solve for x
    x = 47,975,715.08/7,306.65
  6. Step 6: Final answer
    x = 6,566.03

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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.