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Finding the Fourth Proportional to 11,639.52, 16,055.69 and 7,659.18

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Solution

The fourth proportional to 11,639.52, 16,055.69 and 7,659.18 is: 10,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639.52 : 16,055.69 = 7,659.18 : x
  2. Step 2: Convert to fraction form
    11,639.52/16,055.69 = 7,659.18/x
  3. Step 3: Cross multiply
    11,639.52x = 16,055.69 × 7,659.18
  4. Step 4: Simplify right side
    11,639.52x = 122,973,381.44
  5. Step 5: Solve for x
    x = 122,973,381.44/11,639.52
  6. Step 6: Final answer
    x = 10,565.16

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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.