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Finding the Fourth Proportional to 7,661.80, 10,569.81 and 4,827.21

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Solution

The fourth proportional to 7,661.80, 10,569.81 and 4,827.21 is: 6,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.80 : 10,569.81 = 4,827.21 : x
  2. Step 2: Convert to fraction form
    7,661.80/10,569.81 = 4,827.21/x
  3. Step 3: Cross multiply
    7,661.80x = 10,569.81 × 4,827.21
  4. Step 4: Simplify right side
    7,661.80x = 51,022,692.53
  5. Step 5: Solve for x
    x = 51,022,692.53/7,661.80
  6. Step 6: Final answer
    x = 6,659.36

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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.