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Finding the Fourth Proportional to 11,256.84, 15,534.17 and 6,220.80

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Solution

The fourth proportional to 11,256.84, 15,534.17 and 6,220.80 is: 8,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.84 : 15,534.17 = 6,220.80 : x
  2. Step 2: Convert to fraction form
    11,256.84/15,534.17 = 6,220.80/x
  3. Step 3: Cross multiply
    11,256.84x = 15,534.17 × 6,220.80
  4. Step 4: Simplify right side
    11,256.84x = 96,634,964.74
  5. Step 5: Solve for x
    x = 96,634,964.74/11,256.84
  6. Step 6: Final answer
    x = 8,584.56

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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.