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Finding the Fourth Proportional to 8,154.60, 11,256.02 and 4,797.24

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Solution

The fourth proportional to 8,154.60, 11,256.02 and 4,797.24 is: 6,621.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.60 : 11,256.02 = 4,797.24 : x
  2. Step 2: Convert to fraction form
    8,154.60/11,256.02 = 4,797.24/x
  3. Step 3: Cross multiply
    8,154.60x = 11,256.02 × 4,797.24
  4. Step 4: Simplify right side
    8,154.60x = 53,997,829.38
  5. Step 5: Solve for x
    x = 53,997,829.38/8,154.60
  6. Step 6: Final answer
    x = 6,621.76

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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.