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Finding the Fourth Proportional to 7,807.98, 11,715.82 and 3,647.39

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Solution

The fourth proportional to 7,807.98, 11,715.82 and 3,647.39 is: 5,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.98 : 11,715.82 = 3,647.39 : x
  2. Step 2: Convert to fraction form
    7,807.98/11,715.82 = 3,647.39/x
  3. Step 3: Cross multiply
    7,807.98x = 11,715.82 × 3,647.39
  4. Step 4: Simplify right side
    7,807.98x = 42,732,164.71
  5. Step 5: Solve for x
    x = 42,732,164.71/7,807.98
  6. Step 6: Final answer
    x = 5,472.88

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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.