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Finding the Fourth Proportional to 7,478.64, 11,207.16 and 4,394.16

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Solution

The fourth proportional to 7,478.64, 11,207.16 and 4,394.16 is: 6,584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.64 : 11,207.16 = 4,394.16 : x
  2. Step 2: Convert to fraction form
    7,478.64/11,207.16 = 4,394.16/x
  3. Step 3: Cross multiply
    7,478.64x = 11,207.16 × 4,394.16
  4. Step 4: Simplify right side
    7,478.64x = 49,246,054.19
  5. Step 5: Solve for x
    x = 49,246,054.19/7,478.64
  6. Step 6: Final answer
    x = 6,584.89

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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.