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Finding the Fourth Proportional to 7,716.80, 10,648.58 and 4,359.94

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Solution

The fourth proportional to 7,716.80, 10,648.58 and 4,359.94 is: 6,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.80 : 10,648.58 = 4,359.94 : x
  2. Step 2: Convert to fraction form
    7,716.80/10,648.58 = 4,359.94/x
  3. Step 3: Cross multiply
    7,716.80x = 10,648.58 × 4,359.94
  4. Step 4: Simplify right side
    7,716.80x = 46,427,169.89
  5. Step 5: Solve for x
    x = 46,427,169.89/7,716.80
  6. Step 6: Final answer
    x = 6,016.38

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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.