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Finding the Fourth Proportional to 7,196.69, 9,931.38 and 4,052.87

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Solution

The fourth proportional to 7,196.69, 9,931.38 and 4,052.87 is: 5,592.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.69 : 9,931.38 = 4,052.87 : x
  2. Step 2: Convert to fraction form
    7,196.69/9,931.38 = 4,052.87/x
  3. Step 3: Cross multiply
    7,196.69x = 9,931.38 × 4,052.87
  4. Step 4: Simplify right side
    7,196.69x = 40,250,592.06
  5. Step 5: Solve for x
    x = 40,250,592.06/7,196.69
  6. Step 6: Final answer
    x = 5,592.93

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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.