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Finding the Fourth Proportional to 8,152.92, 11,251.28 and 5,730.60

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Solution

The fourth proportional to 8,152.92, 11,251.28 and 5,730.60 is: 7,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.92 : 11,251.28 = 5,730.60 : x
  2. Step 2: Convert to fraction form
    8,152.92/11,251.28 = 5,730.60/x
  3. Step 3: Cross multiply
    8,152.92x = 11,251.28 × 5,730.60
  4. Step 4: Simplify right side
    8,152.92x = 64,476,585.17
  5. Step 5: Solve for x
    x = 64,476,585.17/8,152.92
  6. Step 6: Final answer
    x = 7,908.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.