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Finding the Fourth Proportional to 7,552.74, 10,424.45 and 4,196.71

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Solution

The fourth proportional to 7,552.74, 10,424.45 and 4,196.71 is: 5,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552.74 : 10,424.45 = 4,196.71 : x
  2. Step 2: Convert to fraction form
    7,552.74/10,424.45 = 4,196.71/x
  3. Step 3: Cross multiply
    7,552.74x = 10,424.45 × 4,196.71
  4. Step 4: Simplify right side
    7,552.74x = 43,748,320.45
  5. Step 5: Solve for x
    x = 43,748,320.45/7,552.74
  6. Step 6: Final answer
    x = 5,792.38

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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.