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Finding the Fourth Proportional to 7,127.36, 10,684.56 and 4,814

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Solution

The fourth proportional to 7,127.36, 10,684.56 and 4,814 is: 7,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.36 : 10,684.56 = 4,814 : x
  2. Step 2: Convert to fraction form
    7,127.36/10,684.56 = 4,814/x
  3. Step 3: Cross multiply
    7,127.36x = 10,684.56 × 4,814
  4. Step 4: Simplify right side
    7,127.36x = 51,435,471.84
  5. Step 5: Solve for x
    x = 51,435,471.84/7,127.36
  6. Step 6: Final answer
    x = 7,216.62

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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.