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Finding the Fourth Proportional to 6,110.50, 8,432.49 and 3,316

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Solution

The fourth proportional to 6,110.50, 8,432.49 and 3,316 is: 4,576.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,110.50 : 8,432.49 = 3,316 : x
  2. Step 2: Convert to fraction form
    6,110.50/8,432.49 = 3,316/x
  3. Step 3: Cross multiply
    6,110.50x = 8,432.49 × 3,316
  4. Step 4: Simplify right side
    6,110.50x = 27,962,136.84
  5. Step 5: Solve for x
    x = 27,962,136.84/6,110.50
  6. Step 6: Final answer
    x = 4,576.08

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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.