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Finding the Fourth Proportional to 8,477.80, 12,692.40 and 5,197.30

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Solution

The fourth proportional to 8,477.80, 12,692.40 and 5,197.30 is: 7,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.80 : 12,692.40 = 5,197.30 : x
  2. Step 2: Convert to fraction form
    8,477.80/12,692.40 = 5,197.30/x
  3. Step 3: Cross multiply
    8,477.80x = 12,692.40 × 5,197.30
  4. Step 4: Simplify right side
    8,477.80x = 65,966,210.52
  5. Step 5: Solve for x
    x = 65,966,210.52/8,477.80
  6. Step 6: Final answer
    x = 7,781.05

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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.