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Finding the Fourth Proportional to 7,867.26, 10,861.92 and 5,482.26

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Solution

The fourth proportional to 7,867.26, 10,861.92 and 5,482.26 is: 7,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.26 : 10,861.92 = 5,482.26 : x
  2. Step 2: Convert to fraction form
    7,867.26/10,861.92 = 5,482.26/x
  3. Step 3: Cross multiply
    7,867.26x = 10,861.92 × 5,482.26
  4. Step 4: Simplify right side
    7,867.26x = 59,547,869.54
  5. Step 5: Solve for x
    x = 59,547,869.54/7,867.26
  6. Step 6: Final answer
    x = 7,569.07

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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.