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Finding the Fourth Proportional to 7,332, 10,083.33 and 5,822.16

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Solution

The fourth proportional to 7,332, 10,083.33 and 5,822.16 is: 8,006.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,332 : 10,083.33 = 5,822.16 : x
  2. Step 2: Convert to fraction form
    7,332/10,083.33 = 5,822.16/x
  3. Step 3: Cross multiply
    7,332x = 10,083.33 × 5,822.16
  4. Step 4: Simplify right side
    7,332x = 58,706,760.59
  5. Step 5: Solve for x
    x = 58,706,760.59/7,332
  6. Step 6: Final answer
    x = 8,006.92

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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.