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Finding the Fourth Proportional to 7,196, 9,930.51 and 4,052.24

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Solution

The fourth proportional to 7,196, 9,930.51 and 4,052.24 is: 5,592.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196 : 9,930.51 = 4,052.24 : x
  2. Step 2: Convert to fraction form
    7,196/9,930.51 = 4,052.24/x
  3. Step 3: Cross multiply
    7,196x = 9,930.51 × 4,052.24
  4. Step 4: Simplify right side
    7,196x = 40,240,809.84
  5. Step 5: Solve for x
    x = 40,240,809.84/7,196
  6. Step 6: Final answer
    x = 5,592.11

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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.