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Finding the Fourth Proportional to 6,157.60, 8,496.48 and 5,846.32

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Solution

The fourth proportional to 6,157.60, 8,496.48 and 5,846.32 is: 8,066.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.60 : 8,496.48 = 5,846.32 : x
  2. Step 2: Convert to fraction form
    6,157.60/8,496.48 = 5,846.32/x
  3. Step 3: Cross multiply
    6,157.60x = 8,496.48 × 5,846.32
  4. Step 4: Simplify right side
    6,157.60x = 49,673,140.95
  5. Step 5: Solve for x
    x = 49,673,140.95/6,157.60
  6. Step 6: Final answer
    x = 8,066.96

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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.