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Finding the Fourth Proportional to 10,645.02, 14,693.40 and 6,169.91

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Solution

The fourth proportional to 10,645.02, 14,693.40 and 6,169.91 is: 8,516.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.02 : 14,693.40 = 6,169.91 : x
  2. Step 2: Convert to fraction form
    10,645.02/14,693.40 = 6,169.91/x
  3. Step 3: Cross multiply
    10,645.02x = 14,693.40 × 6,169.91
  4. Step 4: Simplify right side
    10,645.02x = 90,656,882.13
  5. Step 5: Solve for x
    x = 90,656,882.13/10,645.02
  6. Step 6: Final answer
    x = 8,516.37

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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.