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Finding the Fourth Proportional to 8,692.16, 13,039.92 and 4,075.28

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Solution

The fourth proportional to 8,692.16, 13,039.92 and 4,075.28 is: 6,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.16 : 13,039.92 = 4,075.28 : x
  2. Step 2: Convert to fraction form
    8,692.16/13,039.92 = 4,075.28/x
  3. Step 3: Cross multiply
    8,692.16x = 13,039.92 × 4,075.28
  4. Step 4: Simplify right side
    8,692.16x = 53,141,325.18
  5. Step 5: Solve for x
    x = 53,141,325.18/8,692.16
  6. Step 6: Final answer
    x = 6,113.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.