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Finding the Fourth Proportional to 7,802.87, 11,704.19 and 2,538.12

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Solution

The fourth proportional to 7,802.87, 11,704.19 and 2,538.12 is: 3,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.87 : 11,704.19 = 2,538.12 : x
  2. Step 2: Convert to fraction form
    7,802.87/11,704.19 = 2,538.12/x
  3. Step 3: Cross multiply
    7,802.87x = 11,704.19 × 2,538.12
  4. Step 4: Simplify right side
    7,802.87x = 29,706,632.38
  5. Step 5: Solve for x
    x = 29,706,632.38/7,802.87
  6. Step 6: Final answer
    x = 3,807.14

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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.