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Finding the Fourth Proportional to 10,145.93, 14,005.69 and 6,168.31

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Solution

The fourth proportional to 10,145.93, 14,005.69 and 6,168.31 is: 8,514.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.93 : 14,005.69 = 6,168.31 : x
  2. Step 2: Convert to fraction form
    10,145.93/14,005.69 = 6,168.31/x
  3. Step 3: Cross multiply
    10,145.93x = 14,005.69 × 6,168.31
  4. Step 4: Simplify right side
    10,145.93x = 86,391,387.25
  5. Step 5: Solve for x
    x = 86,391,387.25/10,145.93
  6. Step 6: Final answer
    x = 8,514.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.