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Finding the Fourth Proportional to 11,143.17, 16,703.51 and 6,986.10

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Solution

The fourth proportional to 11,143.17, 16,703.51 and 6,986.10 is: 10,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.17 : 16,703.51 = 6,986.10 : x
  2. Step 2: Convert to fraction form
    11,143.17/16,703.51 = 6,986.10/x
  3. Step 3: Cross multiply
    11,143.17x = 16,703.51 × 6,986.10
  4. Step 4: Simplify right side
    11,143.17x = 116,692,356.28
  5. Step 5: Solve for x
    x = 116,692,356.28/11,143.17
  6. Step 6: Final answer
    x = 10,472.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.