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Finding the Fourth Proportional to 10,661.63, 14,718.51 and 6,686.75

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Solution

The fourth proportional to 10,661.63, 14,718.51 and 6,686.75 is: 9,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.63 : 14,718.51 = 6,686.75 : x
  2. Step 2: Convert to fraction form
    10,661.63/14,718.51 = 6,686.75/x
  3. Step 3: Cross multiply
    10,661.63x = 14,718.51 × 6,686.75
  4. Step 4: Simplify right side
    10,661.63x = 98,419,033.54
  5. Step 5: Solve for x
    x = 98,419,033.54/10,661.63
  6. Step 6: Final answer
    x = 9,231.15

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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.