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Finding the Fourth Proportional to 10,062.71, 13,886.83 and 5,525.61

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Solution

The fourth proportional to 10,062.71, 13,886.83 and 5,525.61 is: 7,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.71 : 13,886.83 = 5,525.61 : x
  2. Step 2: Convert to fraction form
    10,062.71/13,886.83 = 5,525.61/x
  3. Step 3: Cross multiply
    10,062.71x = 13,886.83 × 5,525.61
  4. Step 4: Simplify right side
    10,062.71x = 76,733,206.72
  5. Step 5: Solve for x
    x = 76,733,206.72/10,062.71
  6. Step 6: Final answer
    x = 7,625.50

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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.