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Finding the Fourth Proportional to 11,262, 15,541.20 and 6,225.84

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Solution

The fourth proportional to 11,262, 15,541.20 and 6,225.84 is: 8,591.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262 : 15,541.20 = 6,225.84 : x
  2. Step 2: Convert to fraction form
    11,262/15,541.20 = 6,225.84/x
  3. Step 3: Cross multiply
    11,262x = 15,541.20 × 6,225.84
  4. Step 4: Simplify right side
    11,262x = 96,757,024.61
  5. Step 5: Solve for x
    x = 96,757,024.61/11,262
  6. Step 6: Final answer
    x = 8,591.46

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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.