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Finding the Fourth Proportional to 8,874.24, 13,311.36 and 4,256.16

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Solution

The fourth proportional to 8,874.24, 13,311.36 and 4,256.16 is: 6,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,874.24 : 13,311.36 = 4,256.16 : x
  2. Step 2: Convert to fraction form
    8,874.24/13,311.36 = 4,256.16/x
  3. Step 3: Cross multiply
    8,874.24x = 13,311.36 × 4,256.16
  4. Step 4: Simplify right side
    8,874.24x = 56,655,277.98
  5. Step 5: Solve for x
    x = 56,655,277.98/8,874.24
  6. Step 6: Final answer
    x = 6,384.24

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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.