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Finding the Fourth Proportional to 10,763.34, 16,144.98 and 2,972.13

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Solution

The fourth proportional to 10,763.34, 16,144.98 and 2,972.13 is: 4,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.34 : 16,144.98 = 2,972.13 : x
  2. Step 2: Convert to fraction form
    10,763.34/16,144.98 = 2,972.13/x
  3. Step 3: Cross multiply
    10,763.34x = 16,144.98 × 2,972.13
  4. Step 4: Simplify right side
    10,763.34x = 47,984,979.41
  5. Step 5: Solve for x
    x = 47,984,979.41/10,763.34
  6. Step 6: Final answer
    x = 4,458.19

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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.