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Finding the Fourth Proportional to 7,781.88, 10,740.66 and 4,593.99

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Solution

The fourth proportional to 7,781.88, 10,740.66 and 4,593.99 is: 6,340.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.88 : 10,740.66 = 4,593.99 : x
  2. Step 2: Convert to fraction form
    7,781.88/10,740.66 = 4,593.99/x
  3. Step 3: Cross multiply
    7,781.88x = 10,740.66 × 4,593.99
  4. Step 4: Simplify right side
    7,781.88x = 49,342,484.63
  5. Step 5: Solve for x
    x = 49,342,484.63/7,781.88
  6. Step 6: Final answer
    x = 6,340.69

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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.