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Finding the Fourth Proportional to 6,992.65, 10,488.89 and 2,831.53

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Solution

The fourth proportional to 6,992.65, 10,488.89 and 2,831.53 is: 4,247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.65 : 10,488.89 = 2,831.53 : x
  2. Step 2: Convert to fraction form
    6,992.65/10,488.89 = 2,831.53/x
  3. Step 3: Cross multiply
    6,992.65x = 10,488.89 × 2,831.53
  4. Step 4: Simplify right side
    6,992.65x = 29,699,606.70
  5. Step 5: Solve for x
    x = 29,699,606.70/6,992.65
  6. Step 6: Final answer
    x = 4,247.26

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Why These Related Problems?

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