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Finding the Fourth Proportional to 7,182.54, 10,773.68 and 1,988.28

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Solution

The fourth proportional to 7,182.54, 10,773.68 and 1,988.28 is: 2,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.54 : 10,773.68 = 1,988.28 : x
  2. Step 2: Convert to fraction form
    7,182.54/10,773.68 = 1,988.28/x
  3. Step 3: Cross multiply
    7,182.54x = 10,773.68 × 1,988.28
  4. Step 4: Simplify right side
    7,182.54x = 21,421,082.53
  5. Step 5: Solve for x
    x = 21,421,082.53/7,182.54
  6. Step 6: Final answer
    x = 2,982.38

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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.