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Finding the Fourth Proportional to 10,825.12, 14,948.78 and 7,967.44

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Solution

The fourth proportional to 10,825.12, 14,948.78 and 7,967.44 is: 11,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.12 : 14,948.78 = 7,967.44 : x
  2. Step 2: Convert to fraction form
    10,825.12/14,948.78 = 7,967.44/x
  3. Step 3: Cross multiply
    10,825.12x = 14,948.78 × 7,967.44
  4. Step 4: Simplify right side
    10,825.12x = 119,103,507.72
  5. Step 5: Solve for x
    x = 119,103,507.72/10,825.12
  6. Step 6: Final answer
    x = 11,002.51

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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.