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Finding the Fourth Proportional to 7,176, 10,763.28 and 1,981.92

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Solution

The fourth proportional to 7,176, 10,763.28 and 1,981.92 is: 2,972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176 : 10,763.28 = 1,981.92 : x
  2. Step 2: Convert to fraction form
    7,176/10,763.28 = 1,981.92/x
  3. Step 3: Cross multiply
    7,176x = 10,763.28 × 1,981.92
  4. Step 4: Simplify right side
    7,176x = 21,331,959.90
  5. Step 5: Solve for x
    x = 21,331,959.90/7,176
  6. Step 6: Final answer
    x = 2,972.68

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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.