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Finding the Fourth Proportional to 7,655.10, 11,463.20 and 6,112.86

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Solution

The fourth proportional to 7,655.10, 11,463.20 and 6,112.86 is: 9,153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.10 : 11,463.20 = 6,112.86 : x
  2. Step 2: Convert to fraction form
    7,655.10/11,463.20 = 6,112.86/x
  3. Step 3: Cross multiply
    7,655.10x = 11,463.20 × 6,112.86
  4. Step 4: Simplify right side
    7,655.10x = 70,072,936.75
  5. Step 5: Solve for x
    x = 70,072,936.75/7,655.10
  6. Step 6: Final answer
    x = 9,153.76

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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.