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Finding the Fourth Proportional to 7,693.19, 10,616.57 and 4,156.39

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Solution

The fourth proportional to 7,693.19, 10,616.57 and 4,156.39 is: 5,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.19 : 10,616.57 = 4,156.39 : x
  2. Step 2: Convert to fraction form
    7,693.19/10,616.57 = 4,156.39/x
  3. Step 3: Cross multiply
    7,693.19x = 10,616.57 × 4,156.39
  4. Step 4: Simplify right side
    7,693.19x = 44,126,613.46
  5. Step 5: Solve for x
    x = 44,126,613.46/7,693.19
  6. Step 6: Final answer
    x = 5,735.80

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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.