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Finding the Fourth Proportional to 8,441.84, 12,661.45 and 5,312.27

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Solution

The fourth proportional to 8,441.84, 12,661.45 and 5,312.27 is: 7,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.84 : 12,661.45 = 5,312.27 : x
  2. Step 2: Convert to fraction form
    8,441.84/12,661.45 = 5,312.27/x
  3. Step 3: Cross multiply
    8,441.84x = 12,661.45 × 5,312.27
  4. Step 4: Simplify right side
    8,441.84x = 67,261,059.36
  5. Step 5: Solve for x
    x = 67,261,059.36/8,441.84
  6. Step 6: Final answer
    x = 7,967.58

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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.