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Finding the Fourth Proportional to 8,567.87, 11,832.80 and 8,235.77

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Solution

The fourth proportional to 8,567.87, 11,832.80 and 8,235.77 is: 11,374.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.87 : 11,832.80 = 8,235.77 : x
  2. Step 2: Convert to fraction form
    8,567.87/11,832.80 = 8,235.77/x
  3. Step 3: Cross multiply
    8,567.87x = 11,832.80 × 8,235.77
  4. Step 4: Simplify right side
    8,567.87x = 97,452,118.91
  5. Step 5: Solve for x
    x = 97,452,118.91/8,567.87
  6. Step 6: Final answer
    x = 11,374.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.