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Finding the Fourth Proportional to 7,371.66, 11,057.49 and 4,291.50

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Solution

The fourth proportional to 7,371.66, 11,057.49 and 4,291.50 is: 6,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,371.66 : 11,057.49 = 4,291.50 : x
  2. Step 2: Convert to fraction form
    7,371.66/11,057.49 = 4,291.50/x
  3. Step 3: Cross multiply
    7,371.66x = 11,057.49 × 4,291.50
  4. Step 4: Simplify right side
    7,371.66x = 47,453,218.34
  5. Step 5: Solve for x
    x = 47,453,218.34/7,371.66
  6. Step 6: Final answer
    x = 6,437.25

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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.