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Finding the Fourth Proportional to 10,168.65, 14,024.88 and 6,810.39

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Solution

The fourth proportional to 10,168.65, 14,024.88 and 6,810.39 is: 9,393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168.65 : 14,024.88 = 6,810.39 : x
  2. Step 2: Convert to fraction form
    10,168.65/14,024.88 = 6,810.39/x
  3. Step 3: Cross multiply
    10,168.65x = 14,024.88 × 6,810.39
  4. Step 4: Simplify right side
    10,168.65x = 95,514,902.50
  5. Step 5: Solve for x
    x = 95,514,902.50/10,168.65
  6. Step 6: Final answer
    x = 9,393.08

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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.