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Finding the Fourth Proportional to 10,103.64, 13,940.70 and 6,123.93

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Solution

The fourth proportional to 10,103.64, 13,940.70 and 6,123.93 is: 8,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.64 : 13,940.70 = 6,123.93 : x
  2. Step 2: Convert to fraction form
    10,103.64/13,940.70 = 6,123.93/x
  3. Step 3: Cross multiply
    10,103.64x = 13,940.70 × 6,123.93
  4. Step 4: Simplify right side
    10,103.64x = 85,371,870.95
  5. Step 5: Solve for x
    x = 85,371,870.95/10,103.64
  6. Step 6: Final answer
    x = 8,449.62

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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.