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Finding the Fourth Proportional to 7,162.90, 9,888.33 and 4,514.38

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Solution

The fourth proportional to 7,162.90, 9,888.33 and 4,514.38 is: 6,232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.90 : 9,888.33 = 4,514.38 : x
  2. Step 2: Convert to fraction form
    7,162.90/9,888.33 = 4,514.38/x
  3. Step 3: Cross multiply
    7,162.90x = 9,888.33 × 4,514.38
  4. Step 4: Simplify right side
    7,162.90x = 44,639,679.19
  5. Step 5: Solve for x
    x = 44,639,679.19/7,162.90
  6. Step 6: Final answer
    x = 6,232.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.