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Finding the Fourth Proportional to 11,186.80, 15,438.18 and 7,416.52

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Solution

The fourth proportional to 11,186.80, 15,438.18 and 7,416.52 is: 10,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.80 : 15,438.18 = 7,416.52 : x
  2. Step 2: Convert to fraction form
    11,186.80/15,438.18 = 7,416.52/x
  3. Step 3: Cross multiply
    11,186.80x = 15,438.18 × 7,416.52
  4. Step 4: Simplify right side
    11,186.80x = 114,497,570.73
  5. Step 5: Solve for x
    x = 114,497,570.73/11,186.80
  6. Step 6: Final answer
    x = 10,235.06

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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.