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Finding the Fourth Proportional to 11,029.63, 15,223.29 and 6,784.34

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Solution

The fourth proportional to 11,029.63, 15,223.29 and 6,784.34 is: 9,363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,029.63 : 15,223.29 = 6,784.34 : x
  2. Step 2: Convert to fraction form
    11,029.63/15,223.29 = 6,784.34/x
  3. Step 3: Cross multiply
    11,029.63x = 15,223.29 × 6,784.34
  4. Step 4: Simplify right side
    11,029.63x = 103,279,975.28
  5. Step 5: Solve for x
    x = 103,279,975.28/11,029.63
  6. Step 6: Final answer
    x = 9,363.87

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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.