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Finding the Fourth Proportional to 10,156.68, 15,224.94 and 5,765.04

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Solution

The fourth proportional to 10,156.68, 15,224.94 and 5,765.04 is: 8,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.68 : 15,224.94 = 5,765.04 : x
  2. Step 2: Convert to fraction form
    10,156.68/15,224.94 = 5,765.04/x
  3. Step 3: Cross multiply
    10,156.68x = 15,224.94 × 5,765.04
  4. Step 4: Simplify right side
    10,156.68x = 87,772,388.10
  5. Step 5: Solve for x
    x = 87,772,388.10/10,156.68
  6. Step 6: Final answer
    x = 8,641.84

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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.