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Finding the Fourth Proportional to 10,541.67, 15,813.41 and 4,302.12

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Solution

The fourth proportional to 10,541.67, 15,813.41 and 4,302.12 is: 6,453.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,541.67 : 15,813.41 = 4,302.12 : x
  2. Step 2: Convert to fraction form
    10,541.67/15,813.41 = 4,302.12/x
  3. Step 3: Cross multiply
    10,541.67x = 15,813.41 × 4,302.12
  4. Step 4: Simplify right side
    10,541.67x = 68,031,187.43
  5. Step 5: Solve for x
    x = 68,031,187.43/10,541.67
  6. Step 6: Final answer
    x = 6,453.55

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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.