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Finding the Fourth Proportional to 8,226.84, 11,352.47 and 4,641.94

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Solution

The fourth proportional to 8,226.84, 11,352.47 and 4,641.94 is: 6,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.84 : 11,352.47 = 4,641.94 : x
  2. Step 2: Convert to fraction form
    8,226.84/11,352.47 = 4,641.94/x
  3. Step 3: Cross multiply
    8,226.84x = 11,352.47 × 4,641.94
  4. Step 4: Simplify right side
    8,226.84x = 52,697,484.59
  5. Step 5: Solve for x
    x = 52,697,484.59/8,226.84
  6. Step 6: Final answer
    x = 6,405.56

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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.