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Finding the Fourth Proportional to 7,196.88, 9,931.88 and 4,053.18

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Solution

The fourth proportional to 7,196.88, 9,931.88 and 4,053.18 is: 5,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.88 : 9,931.88 = 4,053.18 : x
  2. Step 2: Convert to fraction form
    7,196.88/9,931.88 = 4,053.18/x
  3. Step 3: Cross multiply
    7,196.88x = 9,931.88 × 4,053.18
  4. Step 4: Simplify right side
    7,196.88x = 40,255,697.38
  5. Step 5: Solve for x
    x = 40,255,697.38/7,196.88
  6. Step 6: Final answer
    x = 5,593.49

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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.