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Finding the Fourth Proportional to 11,232.90, 15,503.18 and 7,415.78

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Solution

The fourth proportional to 11,232.90, 15,503.18 and 7,415.78 is: 10,234.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232.90 : 15,503.18 = 7,415.78 : x
  2. Step 2: Convert to fraction form
    11,232.90/15,503.18 = 7,415.78/x
  3. Step 3: Cross multiply
    11,232.90x = 15,503.18 × 7,415.78
  4. Step 4: Simplify right side
    11,232.90x = 114,968,057.59
  5. Step 5: Solve for x
    x = 114,968,057.59/11,232.90
  6. Step 6: Final answer
    x = 10,234.94

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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.