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Finding the Fourth Proportional to 7,114.62, 10,668.61 and 4,153.92

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Solution

The fourth proportional to 7,114.62, 10,668.61 and 4,153.92 is: 6,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.62 : 10,668.61 = 4,153.92 : x
  2. Step 2: Convert to fraction form
    7,114.62/10,668.61 = 4,153.92/x
  3. Step 3: Cross multiply
    7,114.62x = 10,668.61 × 4,153.92
  4. Step 4: Simplify right side
    7,114.62x = 44,316,514.27
  5. Step 5: Solve for x
    x = 44,316,514.27/7,114.62
  6. Step 6: Final answer
    x = 6,228.94

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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.