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Finding the Fourth Proportional to 8,741.64, 13,110.16 and 5,967.80

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Solution

The fourth proportional to 8,741.64, 13,110.16 and 5,967.80 is: 8,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,741.64 : 13,110.16 = 5,967.80 : x
  2. Step 2: Convert to fraction form
    8,741.64/13,110.16 = 5,967.80/x
  3. Step 3: Cross multiply
    8,741.64x = 13,110.16 × 5,967.80
  4. Step 4: Simplify right side
    8,741.64x = 78,238,812.85
  5. Step 5: Solve for x
    x = 78,238,812.85/8,741.64
  6. Step 6: Final answer
    x = 8,950.13

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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.