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Finding the Fourth Proportional to 7,809.36, 11,715.76 and 3,647.10

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Solution

The fourth proportional to 7,809.36, 11,715.76 and 3,647.10 is: 5,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.36 : 11,715.76 = 3,647.10 : x
  2. Step 2: Convert to fraction form
    7,809.36/11,715.76 = 3,647.10/x
  3. Step 3: Cross multiply
    7,809.36x = 11,715.76 × 3,647.10
  4. Step 4: Simplify right side
    7,809.36x = 42,728,548.30
  5. Step 5: Solve for x
    x = 42,728,548.30/7,809.36
  6. Step 6: Final answer
    x = 5,471.45

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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.