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Finding the Fourth Proportional to 11,686.95, 16,129.52 and 6,650.19

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Solution

The fourth proportional to 11,686.95, 16,129.52 and 6,650.19 is: 9,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.95 : 16,129.52 = 6,650.19 : x
  2. Step 2: Convert to fraction form
    11,686.95/16,129.52 = 6,650.19/x
  3. Step 3: Cross multiply
    11,686.95x = 16,129.52 × 6,650.19
  4. Step 4: Simplify right side
    11,686.95x = 107,264,339.36
  5. Step 5: Solve for x
    x = 107,264,339.36/11,686.95
  6. Step 6: Final answer
    x = 9,178.13

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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.