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Finding the Fourth Proportional to 7,807.61, 11,709.47 and 3,064.73

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Solution

The fourth proportional to 7,807.61, 11,709.47 and 3,064.73 is: 4,596.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.61 : 11,709.47 = 3,064.73 : x
  2. Step 2: Convert to fraction form
    7,807.61/11,709.47 = 3,064.73/x
  3. Step 3: Cross multiply
    7,807.61x = 11,709.47 × 3,064.73
  4. Step 4: Simplify right side
    7,807.61x = 35,886,377.94
  5. Step 5: Solve for x
    x = 35,886,377.94/7,807.61
  6. Step 6: Final answer
    x = 4,596.33

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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.