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Finding the Fourth Proportional to 11,901.10, 16,423.08 and 6,596

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Solution

The fourth proportional to 11,901.10, 16,423.08 and 6,596 is: 9,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.10 : 16,423.08 = 6,596 : x
  2. Step 2: Convert to fraction form
    11,901.10/16,423.08 = 6,596/x
  3. Step 3: Cross multiply
    11,901.10x = 16,423.08 × 6,596
  4. Step 4: Simplify right side
    11,901.10x = 108,326,635.68
  5. Step 5: Solve for x
    x = 108,326,635.68/11,901.10
  6. Step 6: Final answer
    x = 9,102.24

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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.