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Finding the Fourth Proportional to 10,373.69, 15,546.69 and 5,686.62

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Solution

The fourth proportional to 10,373.69, 15,546.69 and 5,686.62 is: 8,522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,373.69 : 15,546.69 = 5,686.62 : x
  2. Step 2: Convert to fraction form
    10,373.69/15,546.69 = 5,686.62/x
  3. Step 3: Cross multiply
    10,373.69x = 15,546.69 × 5,686.62
  4. Step 4: Simplify right side
    10,373.69x = 88,408,118.29
  5. Step 5: Solve for x
    x = 88,408,118.29/10,373.69
  6. Step 6: Final answer
    x = 8,522.34

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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.