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Finding the Fourth Proportional to 7,328.54, 10,099.68 and 5,229.02

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Solution

The fourth proportional to 7,328.54, 10,099.68 and 5,229.02 is: 7,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,328.54 : 10,099.68 = 5,229.02 : x
  2. Step 2: Convert to fraction form
    7,328.54/10,099.68 = 5,229.02/x
  3. Step 3: Cross multiply
    7,328.54x = 10,099.68 × 5,229.02
  4. Step 4: Simplify right side
    7,328.54x = 52,811,428.71
  5. Step 5: Solve for x
    x = 52,811,428.71/7,328.54
  6. Step 6: Final answer
    x = 7,206.27

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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.