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Finding the Fourth Proportional to 8,277.54, 11,424.66 and 4,919.70

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Solution

The fourth proportional to 8,277.54, 11,424.66 and 4,919.70 is: 6,790.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.54 : 11,424.66 = 4,919.70 : x
  2. Step 2: Convert to fraction form
    8,277.54/11,424.66 = 4,919.70/x
  3. Step 3: Cross multiply
    8,277.54x = 11,424.66 × 4,919.70
  4. Step 4: Simplify right side
    8,277.54x = 56,205,899.80
  5. Step 5: Solve for x
    x = 56,205,899.80/8,277.54
  6. Step 6: Final answer
    x = 6,790.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.