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Finding the Fourth Proportional to 11,886.70, 17,823.30 and 4,491.40

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Solution

The fourth proportional to 11,886.70, 17,823.30 and 4,491.40 is: 6,734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.70 : 17,823.30 = 4,491.40 : x
  2. Step 2: Convert to fraction form
    11,886.70/17,823.30 = 4,491.40/x
  3. Step 3: Cross multiply
    11,886.70x = 17,823.30 × 4,491.40
  4. Step 4: Simplify right side
    11,886.70x = 80,051,569.62
  5. Step 5: Solve for x
    x = 80,051,569.62/11,886.70
  6. Step 6: Final answer
    x = 6,734.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.