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Finding the Fourth Proportional to 8,577.72, 12,871.44 and 4,877.64

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Solution

The fourth proportional to 8,577.72, 12,871.44 and 4,877.64 is: 7,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.72 : 12,871.44 = 4,877.64 : x
  2. Step 2: Convert to fraction form
    8,577.72/12,871.44 = 4,877.64/x
  3. Step 3: Cross multiply
    8,577.72x = 12,871.44 × 4,877.64
  4. Step 4: Simplify right side
    8,577.72x = 62,782,250.60
  5. Step 5: Solve for x
    x = 62,782,250.60/8,577.72
  6. Step 6: Final answer
    x = 7,319.22

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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.