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Finding the Fourth Proportional to 7,656.80, 11,490.06 and 3,277.94

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Solution

The fourth proportional to 7,656.80, 11,490.06 and 3,277.94 is: 4,918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.80 : 11,490.06 = 3,277.94 : x
  2. Step 2: Convert to fraction form
    7,656.80/11,490.06 = 3,277.94/x
  3. Step 3: Cross multiply
    7,656.80x = 11,490.06 × 3,277.94
  4. Step 4: Simplify right side
    7,656.80x = 37,663,727.28
  5. Step 5: Solve for x
    x = 37,663,727.28/7,656.80
  6. Step 6: Final answer
    x = 4,918.99

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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.