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Finding the Fourth Proportional to 8,136.84, 11,228.49 and 4,780

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Solution

The fourth proportional to 8,136.84, 11,228.49 and 4,780 is: 6,596.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.84 : 11,228.49 = 4,780 : x
  2. Step 2: Convert to fraction form
    8,136.84/11,228.49 = 4,780/x
  3. Step 3: Cross multiply
    8,136.84x = 11,228.49 × 4,780
  4. Step 4: Simplify right side
    8,136.84x = 53,672,182.20
  5. Step 5: Solve for x
    x = 53,672,182.20/8,136.84
  6. Step 6: Final answer
    x = 6,596.19

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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.