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Finding the Fourth Proportional to 11,774.68, 16,246.78 and 6,740.46

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Solution

The fourth proportional to 11,774.68, 16,246.78 and 6,740.46 is: 9,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.68 : 16,246.78 = 6,740.46 : x
  2. Step 2: Convert to fraction form
    11,774.68/16,246.78 = 6,740.46/x
  3. Step 3: Cross multiply
    11,774.68x = 16,246.78 × 6,740.46
  4. Step 4: Simplify right side
    11,774.68x = 109,510,753.87
  5. Step 5: Solve for x
    x = 109,510,753.87/11,774.68
  6. Step 6: Final answer
    x = 9,300.53

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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.