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Finding the Fourth Proportional to 10,393.18, 14,338.02 and 6,199

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Solution

The fourth proportional to 10,393.18, 14,338.02 and 6,199 is: 8,551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.18 : 14,338.02 = 6,199 : x
  2. Step 2: Convert to fraction form
    10,393.18/14,338.02 = 6,199/x
  3. Step 3: Cross multiply
    10,393.18x = 14,338.02 × 6,199
  4. Step 4: Simplify right side
    10,393.18x = 88,881,385.98
  5. Step 5: Solve for x
    x = 88,881,385.98/10,393.18
  6. Step 6: Final answer
    x = 8,551.90

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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.