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Finding the Fourth Proportional to 7,807.46, 11,704.50 and 5,334.93

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Solution

The fourth proportional to 7,807.46, 11,704.50 and 5,334.93 is: 7,997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.46 : 11,704.50 = 5,334.93 : x
  2. Step 2: Convert to fraction form
    7,807.46/11,704.50 = 5,334.93/x
  3. Step 3: Cross multiply
    7,807.46x = 11,704.50 × 5,334.93
  4. Step 4: Simplify right side
    7,807.46x = 62,442,688.19
  5. Step 5: Solve for x
    x = 62,442,688.19/7,807.46
  6. Step 6: Final answer
    x = 7,997.83

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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.