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Finding the Fourth Proportional to 10,234.72, 15,343.80 and 3,656.80

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Solution

The fourth proportional to 10,234.72, 15,343.80 and 3,656.80 is: 5,482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.72 : 15,343.80 = 3,656.80 : x
  2. Step 2: Convert to fraction form
    10,234.72/15,343.80 = 3,656.80/x
  3. Step 3: Cross multiply
    10,234.72x = 15,343.80 × 3,656.80
  4. Step 4: Simplify right side
    10,234.72x = 56,109,207.84
  5. Step 5: Solve for x
    x = 56,109,207.84/10,234.72
  6. Step 6: Final answer
    x = 5,482.24

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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.