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Finding the Fourth Proportional to 11,478.48, 17,226.02 and 4,083

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Solution

The fourth proportional to 11,478.48, 17,226.02 and 4,083 is: 6,127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.48 : 17,226.02 = 4,083 : x
  2. Step 2: Convert to fraction form
    11,478.48/17,226.02 = 4,083/x
  3. Step 3: Cross multiply
    11,478.48x = 17,226.02 × 4,083
  4. Step 4: Simplify right side
    11,478.48x = 70,333,839.66
  5. Step 5: Solve for x
    x = 70,333,839.66/11,478.48
  6. Step 6: Final answer
    x = 6,127.45

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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.