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Finding the Fourth Proportional to 7,859.18, 10,845.54 and 4,322.38

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Solution

The fourth proportional to 7,859.18, 10,845.54 and 4,322.38 is: 5,964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.18 : 10,845.54 = 4,322.38 : x
  2. Step 2: Convert to fraction form
    7,859.18/10,845.54 = 4,322.38/x
  3. Step 3: Cross multiply
    7,859.18x = 10,845.54 × 4,322.38
  4. Step 4: Simplify right side
    7,859.18x = 46,878,545.19
  5. Step 5: Solve for x
    x = 46,878,545.19/7,859.18
  6. Step 6: Final answer
    x = 5,964.81

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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.