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Finding the Fourth Proportional to 7,872.29, 10,866.61 and 5,220.58

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Solution

The fourth proportional to 7,872.29, 10,866.61 and 5,220.58 is: 7,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.29 : 10,866.61 = 5,220.58 : x
  2. Step 2: Convert to fraction form
    7,872.29/10,866.61 = 5,220.58/x
  3. Step 3: Cross multiply
    7,872.29x = 10,866.61 × 5,220.58
  4. Step 4: Simplify right side
    7,872.29x = 56,729,986.19
  5. Step 5: Solve for x
    x = 56,729,986.19/7,872.29
  6. Step 6: Final answer
    x = 7,206.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.