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Finding the Fourth Proportional to 7,508.71, 10,362.26 and 4,151.63

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Solution

The fourth proportional to 7,508.71, 10,362.26 and 4,151.63 is: 5,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,508.71 : 10,362.26 = 4,151.63 : x
  2. Step 2: Convert to fraction form
    7,508.71/10,362.26 = 4,151.63/x
  3. Step 3: Cross multiply
    7,508.71x = 10,362.26 × 4,151.63
  4. Step 4: Simplify right side
    7,508.71x = 43,020,269.48
  5. Step 5: Solve for x
    x = 43,020,269.48/7,508.71
  6. Step 6: Final answer
    x = 5,729.38

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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.