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Finding the Fourth Proportional to 10,443.26, 14,411.99 and 5,967.74

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Solution

The fourth proportional to 10,443.26, 14,411.99 and 5,967.74 is: 8,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.26 : 14,411.99 = 5,967.74 : x
  2. Step 2: Convert to fraction form
    10,443.26/14,411.99 = 5,967.74/x
  3. Step 3: Cross multiply
    10,443.26x = 14,411.99 × 5,967.74
  4. Step 4: Simplify right side
    10,443.26x = 86,006,979.36
  5. Step 5: Solve for x
    x = 86,006,979.36/10,443.26
  6. Step 6: Final answer
    x = 8,235.64

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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.