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Finding the Fourth Proportional to 10,062.79, 13,886.12 and 5,586.41

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Solution

The fourth proportional to 10,062.79, 13,886.12 and 5,586.41 is: 7,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.79 : 13,886.12 = 5,586.41 : x
  2. Step 2: Convert to fraction form
    10,062.79/13,886.12 = 5,586.41/x
  3. Step 3: Cross multiply
    10,062.79x = 13,886.12 × 5,586.41
  4. Step 4: Simplify right side
    10,062.79x = 77,573,608.31
  5. Step 5: Solve for x
    x = 77,573,608.31/10,062.79
  6. Step 6: Final answer
    x = 7,708.96

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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.