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Finding the Fourth Proportional to 7,604.32, 11,403.12 and 2,984.16

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Solution

The fourth proportional to 7,604.32, 11,403.12 and 2,984.16 is: 4,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.32 : 11,403.12 = 2,984.16 : x
  2. Step 2: Convert to fraction form
    7,604.32/11,403.12 = 2,984.16/x
  3. Step 3: Cross multiply
    7,604.32x = 11,403.12 × 2,984.16
  4. Step 4: Simplify right side
    7,604.32x = 34,028,734.58
  5. Step 5: Solve for x
    x = 34,028,734.58/7,604.32
  6. Step 6: Final answer
    x = 4,474.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.