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Finding the Fourth Proportional to 7,484.15, 10,327.42 and 4,340

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Solution

The fourth proportional to 7,484.15, 10,327.42 and 4,340 is: 5,988.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,484.15 : 10,327.42 = 4,340 : x
  2. Step 2: Convert to fraction form
    7,484.15/10,327.42 = 4,340/x
  3. Step 3: Cross multiply
    7,484.15x = 10,327.42 × 4,340
  4. Step 4: Simplify right side
    7,484.15x = 44,821,002.80
  5. Step 5: Solve for x
    x = 44,821,002.80/7,484.15
  6. Step 6: Final answer
    x = 5,988.79

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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.