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Finding the Fourth Proportional to 8,513.42, 12,782.08 and 4,356.41

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Solution

The fourth proportional to 8,513.42, 12,782.08 and 4,356.41 is: 6,540.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.42 : 12,782.08 = 4,356.41 : x
  2. Step 2: Convert to fraction form
    8,513.42/12,782.08 = 4,356.41/x
  3. Step 3: Cross multiply
    8,513.42x = 12,782.08 × 4,356.41
  4. Step 4: Simplify right side
    8,513.42x = 55,683,981.13
  5. Step 5: Solve for x
    x = 55,683,981.13/8,513.42
  6. Step 6: Final answer
    x = 6,540.73

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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.