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Finding the Fourth Proportional to 7,854.47, 10,839.51 and 4,318.01

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Solution

The fourth proportional to 7,854.47, 10,839.51 and 4,318.01 is: 5,959.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.47 : 10,839.51 = 4,318.01 : x
  2. Step 2: Convert to fraction form
    7,854.47/10,839.51 = 4,318.01/x
  3. Step 3: Cross multiply
    7,854.47x = 10,839.51 × 4,318.01
  4. Step 4: Simplify right side
    7,854.47x = 46,805,058.38
  5. Step 5: Solve for x
    x = 46,805,058.38/7,854.47
  6. Step 6: Final answer
    x = 5,959.04

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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.