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Finding the Fourth Proportional to 7,854.84, 10,839.65 and 4,318.02

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Solution

The fourth proportional to 7,854.84, 10,839.65 and 4,318.02 is: 5,958.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.84 : 10,839.65 = 4,318.02 : x
  2. Step 2: Convert to fraction form
    7,854.84/10,839.65 = 4,318.02/x
  3. Step 3: Cross multiply
    7,854.84x = 10,839.65 × 4,318.02
  4. Step 4: Simplify right side
    7,854.84x = 46,805,803.90
  5. Step 5: Solve for x
    x = 46,805,803.90/7,854.84
  6. Step 6: Final answer
    x = 5,958.85

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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.