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Finding the Fourth Proportional to 7,182.89, 10,774.32 and 1,988.75

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Solution

The fourth proportional to 7,182.89, 10,774.32 and 1,988.75 is: 2,983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.89 : 10,774.32 = 1,988.75 : x
  2. Step 2: Convert to fraction form
    7,182.89/10,774.32 = 1,988.75/x
  3. Step 3: Cross multiply
    7,182.89x = 10,774.32 × 1,988.75
  4. Step 4: Simplify right side
    7,182.89x = 21,427,428.90
  5. Step 5: Solve for x
    x = 21,427,428.90/7,182.89
  6. Step 6: Final answer
    x = 2,983.12

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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.