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Finding the Fourth Proportional to 7,693.14, 10,616.53 and 4,156.35

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Solution

The fourth proportional to 7,693.14, 10,616.53 and 4,156.35 is: 5,735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.14 : 10,616.53 = 4,156.35 : x
  2. Step 2: Convert to fraction form
    7,693.14/10,616.53 = 4,156.35/x
  3. Step 3: Cross multiply
    7,693.14x = 10,616.53 × 4,156.35
  4. Step 4: Simplify right side
    7,693.14x = 44,126,004.07
  5. Step 5: Solve for x
    x = 44,126,004.07/7,693.14
  6. Step 6: Final answer
    x = 5,735.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.