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Finding the Fourth Proportional to 10,243.54, 14,134.54 and 5,767.03

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Solution

The fourth proportional to 10,243.54, 14,134.54 and 5,767.03 is: 7,957.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.54 : 14,134.54 = 5,767.03 : x
  2. Step 2: Convert to fraction form
    10,243.54/14,134.54 = 5,767.03/x
  3. Step 3: Cross multiply
    10,243.54x = 14,134.54 × 5,767.03
  4. Step 4: Simplify right side
    10,243.54x = 81,514,216.71
  5. Step 5: Solve for x
    x = 81,514,216.71/10,243.54
  6. Step 6: Final answer
    x = 7,957.63

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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.