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Finding the Fourth Proportional to 7,277.36, 10,906.28 and 6,810.80

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Solution

The fourth proportional to 7,277.36, 10,906.28 and 6,810.80 is: 10,207.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.36 : 10,906.28 = 6,810.80 : x
  2. Step 2: Convert to fraction form
    7,277.36/10,906.28 = 6,810.80/x
  3. Step 3: Cross multiply
    7,277.36x = 10,906.28 × 6,810.80
  4. Step 4: Simplify right side
    7,277.36x = 74,280,491.82
  5. Step 5: Solve for x
    x = 74,280,491.82/7,277.36
  6. Step 6: Final answer
    x = 10,207.07

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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.