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Finding the Fourth Proportional to 11,695.69, 16,139.45 and 6,389.48

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Solution

The fourth proportional to 11,695.69, 16,139.45 and 6,389.48 is: 8,817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.69 : 16,139.45 = 6,389.48 : x
  2. Step 2: Convert to fraction form
    11,695.69/16,139.45 = 6,389.48/x
  3. Step 3: Cross multiply
    11,695.69x = 16,139.45 × 6,389.48
  4. Step 4: Simplify right side
    11,695.69x = 103,122,749.31
  5. Step 5: Solve for x
    x = 103,122,749.31/11,695.69
  6. Step 6: Final answer
    x = 8,817.16

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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.