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Finding the Fourth Proportional to 7,396.50, 11,089.28 and 4,474.16

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Solution

The fourth proportional to 7,396.50, 11,089.28 and 4,474.16 is: 6,707.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,396.50 : 11,089.28 = 4,474.16 : x
  2. Step 2: Convert to fraction form
    7,396.50/11,089.28 = 4,474.16/x
  3. Step 3: Cross multiply
    7,396.50x = 11,089.28 × 4,474.16
  4. Step 4: Simplify right side
    7,396.50x = 49,615,135.19
  5. Step 5: Solve for x
    x = 49,615,135.19/7,396.50
  6. Step 6: Final answer
    x = 6,707.92

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Why These Related Problems?

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