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Finding the Fourth Proportional to 10,334.67, 15,506.59 and 5,892.18

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Solution

The fourth proportional to 10,334.67, 15,506.59 and 5,892.18 is: 8,840.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334.67 : 15,506.59 = 5,892.18 : x
  2. Step 2: Convert to fraction form
    10,334.67/15,506.59 = 5,892.18/x
  3. Step 3: Cross multiply
    10,334.67x = 15,506.59 × 5,892.18
  4. Step 4: Simplify right side
    10,334.67x = 91,367,619.47
  5. Step 5: Solve for x
    x = 91,367,619.47/10,334.67
  6. Step 6: Final answer
    x = 8,840.88

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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.