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Finding the Fourth Proportional to 10,864.75, 16,287.90 and 10,348.06

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Solution

The fourth proportional to 10,864.75, 16,287.90 and 10,348.06 is: 15,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.75 : 16,287.90 = 10,348.06 : x
  2. Step 2: Convert to fraction form
    10,864.75/16,287.90 = 10,348.06/x
  3. Step 3: Cross multiply
    10,864.75x = 16,287.90 × 10,348.06
  4. Step 4: Simplify right side
    10,864.75x = 168,548,166.47
  5. Step 5: Solve for x
    x = 168,548,166.47/10,864.75
  6. Step 6: Final answer
    x = 15,513.30

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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.