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Finding the Fourth Proportional to 7,636.95, 11,457.14 and 3,478.14

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Solution

The fourth proportional to 7,636.95, 11,457.14 and 3,478.14 is: 5,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.95 : 11,457.14 = 3,478.14 : x
  2. Step 2: Convert to fraction form
    7,636.95/11,457.14 = 3,478.14/x
  3. Step 3: Cross multiply
    7,636.95x = 11,457.14 × 3,478.14
  4. Step 4: Simplify right side
    7,636.95x = 39,849,519.53
  5. Step 5: Solve for x
    x = 39,849,519.53/7,636.95
  6. Step 6: Final answer
    x = 5,217.99

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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.