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Finding the Fourth Proportional to 10,018.83, 13,824.76 and 5,541.97

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Solution

The fourth proportional to 10,018.83, 13,824.76 and 5,541.97 is: 7,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.83 : 13,824.76 = 5,541.97 : x
  2. Step 2: Convert to fraction form
    10,018.83/13,824.76 = 5,541.97/x
  3. Step 3: Cross multiply
    10,018.83x = 13,824.76 × 5,541.97
  4. Step 4: Simplify right side
    10,018.83x = 76,616,405.18
  5. Step 5: Solve for x
    x = 76,616,405.18/10,018.83
  6. Step 6: Final answer
    x = 7,647.24

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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.