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Finding the Fourth Proportional to 8,740.56, 13,096.24 and 3,802.80

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Solution

The fourth proportional to 8,740.56, 13,096.24 and 3,802.80 is: 5,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740.56 : 13,096.24 = 3,802.80 : x
  2. Step 2: Convert to fraction form
    8,740.56/13,096.24 = 3,802.80/x
  3. Step 3: Cross multiply
    8,740.56x = 13,096.24 × 3,802.80
  4. Step 4: Simplify right side
    8,740.56x = 49,802,381.47
  5. Step 5: Solve for x
    x = 49,802,381.47/8,740.56
  6. Step 6: Final answer
    x = 5,697.85

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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.