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Finding the Fourth Proportional to 10,751.94, 16,127.10 and 6,397.11

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Solution

The fourth proportional to 10,751.94, 16,127.10 and 6,397.11 is: 9,595.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.94 : 16,127.10 = 6,397.11 : x
  2. Step 2: Convert to fraction form
    10,751.94/16,127.10 = 6,397.11/x
  3. Step 3: Cross multiply
    10,751.94x = 16,127.10 × 6,397.11
  4. Step 4: Simplify right side
    10,751.94x = 103,166,832.68
  5. Step 5: Solve for x
    x = 103,166,832.68/10,751.94
  6. Step 6: Final answer
    x = 9,595.18

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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.