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Finding the Fourth Proportional to 10,415.69, 14,371.43 and 6,168.08

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Solution

The fourth proportional to 10,415.69, 14,371.43 and 6,168.08 is: 8,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.69 : 14,371.43 = 6,168.08 : x
  2. Step 2: Convert to fraction form
    10,415.69/14,371.43 = 6,168.08/x
  3. Step 3: Cross multiply
    10,415.69x = 14,371.43 × 6,168.08
  4. Step 4: Simplify right side
    10,415.69x = 88,644,135.04
  5. Step 5: Solve for x
    x = 88,644,135.04/10,415.69
  6. Step 6: Final answer
    x = 8,510.64

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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.