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Finding the Fourth Proportional to 10,310.02, 15,461.94 and 5,376.97

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Solution

The fourth proportional to 10,310.02, 15,461.94 and 5,376.97 is: 8,063.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.02 : 15,461.94 = 5,376.97 : x
  2. Step 2: Convert to fraction form
    10,310.02/15,461.94 = 5,376.97/x
  3. Step 3: Cross multiply
    10,310.02x = 15,461.94 × 5,376.97
  4. Step 4: Simplify right side
    10,310.02x = 83,138,337.21
  5. Step 5: Solve for x
    x = 83,138,337.21/10,310.02
  6. Step 6: Final answer
    x = 8,063.84

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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.