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Finding the Fourth Proportional to 7,428.68, 11,136.86 and 3,478.01

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Solution

The fourth proportional to 7,428.68, 11,136.86 and 3,478.01 is: 5,214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428.68 : 11,136.86 = 3,478.01 : x
  2. Step 2: Convert to fraction form
    7,428.68/11,136.86 = 3,478.01/x
  3. Step 3: Cross multiply
    7,428.68x = 11,136.86 × 3,478.01
  4. Step 4: Simplify right side
    7,428.68x = 38,734,037.37
  5. Step 5: Solve for x
    x = 38,734,037.37/7,428.68
  6. Step 6: Final answer
    x = 5,214.12

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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.