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Finding the Fourth Proportional to 10,752.68, 16,133.57 and 5,210.15

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Solution

The fourth proportional to 10,752.68, 16,133.57 and 5,210.15 is: 7,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.68 : 16,133.57 = 5,210.15 : x
  2. Step 2: Convert to fraction form
    10,752.68/16,133.57 = 5,210.15/x
  3. Step 3: Cross multiply
    10,752.68x = 16,133.57 × 5,210.15
  4. Step 4: Simplify right side
    10,752.68x = 84,058,213.02
  5. Step 5: Solve for x
    x = 84,058,213.02/10,752.68
  6. Step 6: Final answer
    x = 7,817.42

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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.