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Finding the Fourth Proportional to 10,454.03, 15,683.96 and 4,212.61

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Solution

The fourth proportional to 10,454.03, 15,683.96 and 4,212.61 is: 6,320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.03 : 15,683.96 = 4,212.61 : x
  2. Step 2: Convert to fraction form
    10,454.03/15,683.96 = 4,212.61/x
  3. Step 3: Cross multiply
    10,454.03x = 15,683.96 × 4,212.61
  4. Step 4: Simplify right side
    10,454.03x = 66,070,378.06
  5. Step 5: Solve for x
    x = 66,070,378.06/10,454.03
  6. Step 6: Final answer
    x = 6,320.09

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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.