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Finding the Fourth Proportional to 8,811.74, 13,209.98 and 8,322.50

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Solution

The fourth proportional to 8,811.74, 13,209.98 and 8,322.50 is: 12,476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811.74 : 13,209.98 = 8,322.50 : x
  2. Step 2: Convert to fraction form
    8,811.74/13,209.98 = 8,322.50/x
  3. Step 3: Cross multiply
    8,811.74x = 13,209.98 × 8,322.50
  4. Step 4: Simplify right side
    8,811.74x = 109,939,950.89
  5. Step 5: Solve for x
    x = 109,939,950.89/8,811.74
  6. Step 6: Final answer
    x = 12,476.54

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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.