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Finding the Fourth Proportional to 10,660.88, 14,713.40 and 7,686.56

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Solution

The fourth proportional to 10,660.88, 14,713.40 and 7,686.56 is: 10,608.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.88 : 14,713.40 = 7,686.56 : x
  2. Step 2: Convert to fraction form
    10,660.88/14,713.40 = 7,686.56/x
  3. Step 3: Cross multiply
    10,660.88x = 14,713.40 × 7,686.56
  4. Step 4: Simplify right side
    10,660.88x = 113,095,431.90
  5. Step 5: Solve for x
    x = 113,095,431.90/10,660.88
  6. Step 6: Final answer
    x = 10,608.45

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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.