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Finding the Fourth Proportional to 10,546.89, 15,828.12 and 5,000.22

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Solution

The fourth proportional to 10,546.89, 15,828.12 and 5,000.22 is: 7,504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.89 : 15,828.12 = 5,000.22 : x
  2. Step 2: Convert to fraction form
    10,546.89/15,828.12 = 5,000.22/x
  3. Step 3: Cross multiply
    10,546.89x = 15,828.12 × 5,000.22
  4. Step 4: Simplify right side
    10,546.89x = 79,144,082.19
  5. Step 5: Solve for x
    x = 79,144,082.19/10,546.89
  6. Step 6: Final answer
    x = 7,504.02

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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.