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Finding the Fourth Proportional to 10,063.68, 13,888.52 and 5,814.92

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Solution

The fourth proportional to 10,063.68, 13,888.52 and 5,814.92 is: 8,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,063.68 : 13,888.52 = 5,814.92 : x
  2. Step 2: Convert to fraction form
    10,063.68/13,888.52 = 5,814.92/x
  3. Step 3: Cross multiply
    10,063.68x = 13,888.52 × 5,814.92
  4. Step 4: Simplify right side
    10,063.68x = 80,760,534.20
  5. Step 5: Solve for x
    x = 80,760,534.20/10,063.68
  6. Step 6: Final answer
    x = 8,024.95

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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.