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Finding the Fourth Proportional to 7,422.64, 11,117.76 and 3,718.41

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Solution

The fourth proportional to 7,422.64, 11,117.76 and 3,718.41 is: 5,569.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422.64 : 11,117.76 = 3,718.41 : x
  2. Step 2: Convert to fraction form
    7,422.64/11,117.76 = 3,718.41/x
  3. Step 3: Cross multiply
    7,422.64x = 11,117.76 × 3,718.41
  4. Step 4: Simplify right side
    7,422.64x = 41,340,334.33
  5. Step 5: Solve for x
    x = 41,340,334.33/7,422.64
  6. Step 6: Final answer
    x = 5,569.49

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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.