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Finding the Fourth Proportional to 10,616.90, 14,653.13 and 6,143.38

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Solution

The fourth proportional to 10,616.90, 14,653.13 and 6,143.38 is: 8,478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.90 : 14,653.13 = 6,143.38 : x
  2. Step 2: Convert to fraction form
    10,616.90/14,653.13 = 6,143.38/x
  3. Step 3: Cross multiply
    10,616.90x = 14,653.13 × 6,143.38
  4. Step 4: Simplify right side
    10,616.90x = 90,019,678.43
  5. Step 5: Solve for x
    x = 90,019,678.43/10,616.90
  6. Step 6: Final answer
    x = 8,478.91

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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.