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Finding the Fourth Proportional to 7,458.32, 11,187.21 and 1,911.71

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Solution

The fourth proportional to 7,458.32, 11,187.21 and 1,911.71 is: 2,867.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.32 : 11,187.21 = 1,911.71 : x
  2. Step 2: Convert to fraction form
    7,458.32/11,187.21 = 1,911.71/x
  3. Step 3: Cross multiply
    7,458.32x = 11,187.21 × 1,911.71
  4. Step 4: Simplify right side
    7,458.32x = 21,386,645.29
  5. Step 5: Solve for x
    x = 21,386,645.29/7,458.32
  6. Step 6: Final answer
    x = 2,867.49

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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.