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Finding the Fourth Proportional to 8,811.84, 13,214.56 and 2,966.72

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Solution

The fourth proportional to 8,811.84, 13,214.56 and 2,966.72 is: 4,449.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811.84 : 13,214.56 = 2,966.72 : x
  2. Step 2: Convert to fraction form
    8,811.84/13,214.56 = 2,966.72/x
  3. Step 3: Cross multiply
    8,811.84x = 13,214.56 × 2,966.72
  4. Step 4: Simplify right side
    8,811.84x = 39,203,899.44
  5. Step 5: Solve for x
    x = 39,203,899.44/8,811.84
  6. Step 6: Final answer
    x = 4,449.00

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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.