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Finding the Fourth Proportional to 7,128.17, 9,836.51 and 4,143.53

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Solution

The fourth proportional to 7,128.17, 9,836.51 and 4,143.53 is: 5,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.17 : 9,836.51 = 4,143.53 : x
  2. Step 2: Convert to fraction form
    7,128.17/9,836.51 = 4,143.53/x
  3. Step 3: Cross multiply
    7,128.17x = 9,836.51 × 4,143.53
  4. Step 4: Simplify right side
    7,128.17x = 40,757,804.38
  5. Step 5: Solve for x
    x = 40,757,804.38/7,128.17
  6. Step 6: Final answer
    x = 5,717.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.