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Finding the Fourth Proportional to 8,319.51, 12,478.86 and 5,157.27

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Solution

The fourth proportional to 8,319.51, 12,478.86 and 5,157.27 is: 7,735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.51 : 12,478.86 = 5,157.27 : x
  2. Step 2: Convert to fraction form
    8,319.51/12,478.86 = 5,157.27/x
  3. Step 3: Cross multiply
    8,319.51x = 12,478.86 × 5,157.27
  4. Step 4: Simplify right side
    8,319.51x = 64,356,850.31
  5. Step 5: Solve for x
    x = 64,356,850.31/8,319.51
  6. Step 6: Final answer
    x = 7,735.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.