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Finding the Fourth Proportional to 7,244.98, 10,872.33 and 2,565

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Solution

The fourth proportional to 7,244.98, 10,872.33 and 2,565 is: 3,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.98 : 10,872.33 = 2,565 : x
  2. Step 2: Convert to fraction form
    7,244.98/10,872.33 = 2,565/x
  3. Step 3: Cross multiply
    7,244.98x = 10,872.33 × 2,565
  4. Step 4: Simplify right side
    7,244.98x = 27,887,526.45
  5. Step 5: Solve for x
    x = 27,887,526.45/7,244.98
  6. Step 6: Final answer
    x = 3,849.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.