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Finding the Fourth Proportional to 8,260, 11,398.80 and 4,533.92

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Solution

The fourth proportional to 8,260, 11,398.80 and 4,533.92 is: 6,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260 : 11,398.80 = 4,533.92 : x
  2. Step 2: Convert to fraction form
    8,260/11,398.80 = 4,533.92/x
  3. Step 3: Cross multiply
    8,260x = 11,398.80 × 4,533.92
  4. Step 4: Simplify right side
    8,260x = 51,681,247.30
  5. Step 5: Solve for x
    x = 51,681,247.30/8,260
  6. Step 6: Final answer
    x = 6,256.81

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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.