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Finding the Fourth Proportional to 7,365.60, 11,046.81 and 2,434.08

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Solution

The fourth proportional to 7,365.60, 11,046.81 and 2,434.08 is: 3,650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365.60 : 11,046.81 = 2,434.08 : x
  2. Step 2: Convert to fraction form
    7,365.60/11,046.81 = 2,434.08/x
  3. Step 3: Cross multiply
    7,365.60x = 11,046.81 × 2,434.08
  4. Step 4: Simplify right side
    7,365.60x = 26,888,819.28
  5. Step 5: Solve for x
    x = 26,888,819.28/7,365.60
  6. Step 6: Final answer
    x = 3,650.59

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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.