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Finding the Fourth Proportional to 7,883.40, 11,825.28 and 2,952.12

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Solution

The fourth proportional to 7,883.40, 11,825.28 and 2,952.12 is: 4,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.40 : 11,825.28 = 2,952.12 : x
  2. Step 2: Convert to fraction form
    7,883.40/11,825.28 = 2,952.12/x
  3. Step 3: Cross multiply
    7,883.40x = 11,825.28 × 2,952.12
  4. Step 4: Simplify right side
    7,883.40x = 34,909,645.59
  5. Step 5: Solve for x
    x = 34,909,645.59/7,883.40
  6. Step 6: Final answer
    x = 4,428.25

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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.