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Finding the Fourth Proportional to 7,133.65, 10,697.72 and 2,452.77

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Solution

The fourth proportional to 7,133.65, 10,697.72 and 2,452.77 is: 3,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.65 : 10,697.72 = 2,452.77 : x
  2. Step 2: Convert to fraction form
    7,133.65/10,697.72 = 2,452.77/x
  3. Step 3: Cross multiply
    7,133.65x = 10,697.72 × 2,452.77
  4. Step 4: Simplify right side
    7,133.65x = 26,239,034.42
  5. Step 5: Solve for x
    x = 26,239,034.42/7,133.65
  6. Step 6: Final answer
    x = 3,678.21

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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.