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Finding the Fourth Proportional to 10,393.68, 14,338.71 and 6,199.50

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Solution

The fourth proportional to 10,393.68, 14,338.71 and 6,199.50 is: 8,552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.68 : 14,338.71 = 6,199.50 : x
  2. Step 2: Convert to fraction form
    10,393.68/14,338.71 = 6,199.50/x
  3. Step 3: Cross multiply
    10,393.68x = 14,338.71 × 6,199.50
  4. Step 4: Simplify right side
    10,393.68x = 88,892,832.65
  5. Step 5: Solve for x
    x = 88,892,832.65/10,393.68
  6. Step 6: Final answer
    x = 8,552.59

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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.