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Finding the Fourth Proportional to 7,276, 10,913.52 and 2,344.32

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Solution

The fourth proportional to 7,276, 10,913.52 and 2,344.32 is: 3,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,276 : 10,913.52 = 2,344.32 : x
  2. Step 2: Convert to fraction form
    7,276/10,913.52 = 2,344.32/x
  3. Step 3: Cross multiply
    7,276x = 10,913.52 × 2,344.32
  4. Step 4: Simplify right side
    7,276x = 25,584,783.21
  5. Step 5: Solve for x
    x = 25,584,783.21/7,276
  6. Step 6: Final answer
    x = 3,516.33

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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.