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Finding the Fourth Proportional to 8,158.10, 11,315.94 and 7,878.38

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Solution

The fourth proportional to 8,158.10, 11,315.94 and 7,878.38 is: 10,927.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.10 : 11,315.94 = 7,878.38 : x
  2. Step 2: Convert to fraction form
    8,158.10/11,315.94 = 7,878.38/x
  3. Step 3: Cross multiply
    8,158.10x = 11,315.94 × 7,878.38
  4. Step 4: Simplify right side
    8,158.10x = 89,151,275.38
  5. Step 5: Solve for x
    x = 89,151,275.38/8,158.10
  6. Step 6: Final answer
    x = 10,927.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.