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Finding the Fourth Proportional to 8,692.84, 13,039.24 and 3,146.16

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Solution

The fourth proportional to 8,692.84, 13,039.24 and 3,146.16 is: 4,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.84 : 13,039.24 = 3,146.16 : x
  2. Step 2: Convert to fraction form
    8,692.84/13,039.24 = 3,146.16/x
  3. Step 3: Cross multiply
    8,692.84x = 13,039.24 × 3,146.16
  4. Step 4: Simplify right side
    8,692.84x = 41,023,535.32
  5. Step 5: Solve for x
    x = 41,023,535.32/8,692.84
  6. Step 6: Final answer
    x = 4,719.23

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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.