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Finding the Fourth Proportional to 11,003.42, 15,182.07 and 6,223.46

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Solution

The fourth proportional to 11,003.42, 15,182.07 and 6,223.46 is: 8,586.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,003.42 : 15,182.07 = 6,223.46 : x
  2. Step 2: Convert to fraction form
    11,003.42/15,182.07 = 6,223.46/x
  3. Step 3: Cross multiply
    11,003.42x = 15,182.07 × 6,223.46
  4. Step 4: Simplify right side
    11,003.42x = 94,484,929.45
  5. Step 5: Solve for x
    x = 94,484,929.45/11,003.42
  6. Step 6: Final answer
    x = 8,586.87

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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.