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Finding the Fourth Proportional to 11,450.32, 15,804.12 and 7,464.49

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Solution

The fourth proportional to 11,450.32, 15,804.12 and 7,464.49 is: 10,302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450.32 : 15,804.12 = 7,464.49 : x
  2. Step 2: Convert to fraction form
    11,450.32/15,804.12 = 7,464.49/x
  3. Step 3: Cross multiply
    11,450.32x = 15,804.12 × 7,464.49
  4. Step 4: Simplify right side
    11,450.32x = 117,969,695.70
  5. Step 5: Solve for x
    x = 117,969,695.70/11,450.32
  6. Step 6: Final answer
    x = 10,302.74

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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.