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Finding the Fourth Proportional to 10,138.01, 13,915.99 and 8,993.95

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Solution

The fourth proportional to 10,138.01, 13,915.99 and 8,993.95 is: 12,345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.01 : 13,915.99 = 8,993.95 : x
  2. Step 2: Convert to fraction form
    10,138.01/13,915.99 = 8,993.95/x
  3. Step 3: Cross multiply
    10,138.01x = 13,915.99 × 8,993.95
  4. Step 4: Simplify right side
    10,138.01x = 125,159,694.71
  5. Step 5: Solve for x
    x = 125,159,694.71/10,138.01
  6. Step 6: Final answer
    x = 12,345.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.