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Finding the Fourth Proportional to 7,693.38, 10,616.87 and 4,156.60

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Solution

The fourth proportional to 7,693.38, 10,616.87 and 4,156.60 is: 5,736.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.38 : 10,616.87 = 4,156.60 : x
  2. Step 2: Convert to fraction form
    7,693.38/10,616.87 = 4,156.60/x
  3. Step 3: Cross multiply
    7,693.38x = 10,616.87 × 4,156.60
  4. Step 4: Simplify right side
    7,693.38x = 44,130,081.84
  5. Step 5: Solve for x
    x = 44,130,081.84/7,693.38
  6. Step 6: Final answer
    x = 5,736.11

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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.