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Finding the Fourth Proportional to 11,029.77, 15,214.23 and 6,838.02

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Solution

The fourth proportional to 11,029.77, 15,214.23 and 6,838.02 is: 9,432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,029.77 : 15,214.23 = 6,838.02 : x
  2. Step 2: Convert to fraction form
    11,029.77/15,214.23 = 6,838.02/x
  3. Step 3: Cross multiply
    11,029.77x = 15,214.23 × 6,838.02
  4. Step 4: Simplify right side
    11,029.77x = 104,035,209.02
  5. Step 5: Solve for x
    x = 104,035,209.02/11,029.77
  6. Step 6: Final answer
    x = 9,432.22

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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.