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Finding the Fourth Proportional to 7,126.16, 10,689.28 and 1,932.04

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Solution

The fourth proportional to 7,126.16, 10,689.28 and 1,932.04 is: 2,898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.16 : 10,689.28 = 1,932.04 : x
  2. Step 2: Convert to fraction form
    7,126.16/10,689.28 = 1,932.04/x
  3. Step 3: Cross multiply
    7,126.16x = 10,689.28 × 1,932.04
  4. Step 4: Simplify right side
    7,126.16x = 20,652,116.53
  5. Step 5: Solve for x
    x = 20,652,116.53/7,126.16
  6. Step 6: Final answer
    x = 2,898.07

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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.