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Finding the Fourth Proportional to 10,062.68, 13,886.19 and 5,525.35

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Solution

The fourth proportional to 10,062.68, 13,886.19 and 5,525.35 is: 7,624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.68 : 13,886.19 = 5,525.35 : x
  2. Step 2: Convert to fraction form
    10,062.68/13,886.19 = 5,525.35/x
  3. Step 3: Cross multiply
    10,062.68x = 13,886.19 × 5,525.35
  4. Step 4: Simplify right side
    10,062.68x = 76,726,025.20
  5. Step 5: Solve for x
    x = 76,726,025.20/10,062.68
  6. Step 6: Final answer
    x = 7,624.81

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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.