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Finding the Fourth Proportional to 7,674.38, 10,590.54 and 4,317.14

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Solution

The fourth proportional to 7,674.38, 10,590.54 and 4,317.14 is: 5,957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.38 : 10,590.54 = 4,317.14 : x
  2. Step 2: Convert to fraction form
    7,674.38/10,590.54 = 4,317.14/x
  3. Step 3: Cross multiply
    7,674.38x = 10,590.54 × 4,317.14
  4. Step 4: Simplify right side
    7,674.38x = 45,720,790.90
  5. Step 5: Solve for x
    x = 45,720,790.90/7,674.38
  6. Step 6: Final answer
    x = 5,957.59

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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.