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Finding the Fourth Proportional to 7,693.90, 10,617.58 and 4,157.11

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Solution

The fourth proportional to 7,693.90, 10,617.58 and 4,157.11 is: 5,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.90 : 10,617.58 = 4,157.11 : x
  2. Step 2: Convert to fraction form
    7,693.90/10,617.58 = 4,157.11/x
  3. Step 3: Cross multiply
    7,693.90x = 10,617.58 × 4,157.11
  4. Step 4: Simplify right side
    7,693.90x = 44,138,374.12
  5. Step 5: Solve for x
    x = 44,138,374.12/7,693.90
  6. Step 6: Final answer
    x = 5,736.80

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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.