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Finding the Fourth Proportional to 8,507.63, 12,762.36 and 3,577.77

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Solution

The fourth proportional to 8,507.63, 12,762.36 and 3,577.77 is: 5,367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.63 : 12,762.36 = 3,577.77 : x
  2. Step 2: Convert to fraction form
    8,507.63/12,762.36 = 3,577.77/x
  3. Step 3: Cross multiply
    8,507.63x = 12,762.36 × 3,577.77
  4. Step 4: Simplify right side
    8,507.63x = 45,660,788.74
  5. Step 5: Solve for x
    x = 45,660,788.74/8,507.63
  6. Step 6: Final answer
    x = 5,367.04

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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.