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Finding the Fourth Proportional to 7,699.16, 11,542.85 and 6,378.86

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Solution

The fourth proportional to 7,699.16, 11,542.85 and 6,378.86 is: 9,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.16 : 11,542.85 = 6,378.86 : x
  2. Step 2: Convert to fraction form
    7,699.16/11,542.85 = 6,378.86/x
  3. Step 3: Cross multiply
    7,699.16x = 11,542.85 × 6,378.86
  4. Step 4: Simplify right side
    7,699.16x = 73,630,134.54
  5. Step 5: Solve for x
    x = 73,630,134.54/7,699.16
  6. Step 6: Final answer
    x = 9,563.40

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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.