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Finding the Fourth Proportional to 12,056.71, 16,638.56 and 6,752.61

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Solution

The fourth proportional to 12,056.71, 16,638.56 and 6,752.61 is: 9,318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,056.71 : 16,638.56 = 6,752.61 : x
  2. Step 2: Convert to fraction form
    12,056.71/16,638.56 = 6,752.61/x
  3. Step 3: Cross multiply
    12,056.71x = 16,638.56 × 6,752.61
  4. Step 4: Simplify right side
    12,056.71x = 112,353,706.64
  5. Step 5: Solve for x
    x = 112,353,706.64/12,056.71
  6. Step 6: Final answer
    x = 9,318.77

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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.