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Finding the Fourth Proportional to 10,062.97, 13,886.20 and 5,586.37

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Solution

The fourth proportional to 10,062.97, 13,886.20 and 5,586.37 is: 7,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.97 : 13,886.20 = 5,586.37 : x
  2. Step 2: Convert to fraction form
    10,062.97/13,886.20 = 5,586.37/x
  3. Step 3: Cross multiply
    10,062.97x = 13,886.20 × 5,586.37
  4. Step 4: Simplify right side
    10,062.97x = 77,573,381.66
  5. Step 5: Solve for x
    x = 77,573,381.66/10,062.97
  6. Step 6: Final answer
    x = 7,708.80

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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.