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Finding the Fourth Proportional to 7,776.59, 10,727.36 and 5,387.96

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Solution

The fourth proportional to 7,776.59, 10,727.36 and 5,387.96 is: 7,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.59 : 10,727.36 = 5,387.96 : x
  2. Step 2: Convert to fraction form
    7,776.59/10,727.36 = 5,387.96/x
  3. Step 3: Cross multiply
    7,776.59x = 10,727.36 × 5,387.96
  4. Step 4: Simplify right side
    7,776.59x = 57,798,546.30
  5. Step 5: Solve for x
    x = 57,798,546.30/7,776.59
  6. Step 6: Final answer
    x = 7,432.38

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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.