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Finding the Fourth Proportional to 8,577.80, 12,866.70 and 4,203.80

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Solution

The fourth proportional to 8,577.80, 12,866.70 and 4,203.80 is: 6,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.80 : 12,866.70 = 4,203.80 : x
  2. Step 2: Convert to fraction form
    8,577.80/12,866.70 = 4,203.80/x
  3. Step 3: Cross multiply
    8,577.80x = 12,866.70 × 4,203.80
  4. Step 4: Simplify right side
    8,577.80x = 54,089,033.46
  5. Step 5: Solve for x
    x = 54,089,033.46/8,577.80
  6. Step 6: Final answer
    x = 6,305.70

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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.