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Finding the Fourth Proportional to 10,146.75, 15,214.05 and 4,216.49

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Solution

The fourth proportional to 10,146.75, 15,214.05 and 4,216.49 is: 6,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.75 : 15,214.05 = 4,216.49 : x
  2. Step 2: Convert to fraction form
    10,146.75/15,214.05 = 4,216.49/x
  3. Step 3: Cross multiply
    10,146.75x = 15,214.05 × 4,216.49
  4. Step 4: Simplify right side
    10,146.75x = 64,149,813.61
  5. Step 5: Solve for x
    x = 64,149,813.61/10,146.75
  6. Step 6: Final answer
    x = 6,322.20

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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.