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Finding the Fourth Proportional to 11,450.12, 15,785.46 and 7,907.24

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Solution

The fourth proportional to 11,450.12, 15,785.46 and 7,907.24 is: 10,901.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450.12 : 15,785.46 = 7,907.24 : x
  2. Step 2: Convert to fraction form
    11,450.12/15,785.46 = 7,907.24/x
  3. Step 3: Cross multiply
    11,450.12x = 15,785.46 × 7,907.24
  4. Step 4: Simplify right side
    11,450.12x = 124,819,420.73
  5. Step 5: Solve for x
    x = 124,819,420.73/11,450.12
  6. Step 6: Final answer
    x = 10,901.15

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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.