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Finding the Fourth Proportional to 7,349.68, 10,145.46 and 5,112.86

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Solution

The fourth proportional to 7,349.68, 10,145.46 and 5,112.86 is: 7,057.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.68 : 10,145.46 = 5,112.86 : x
  2. Step 2: Convert to fraction form
    7,349.68/10,145.46 = 5,112.86/x
  3. Step 3: Cross multiply
    7,349.68x = 10,145.46 × 5,112.86
  4. Step 4: Simplify right side
    7,349.68x = 51,872,316.62
  5. Step 5: Solve for x
    x = 51,872,316.62/7,349.68
  6. Step 6: Final answer
    x = 7,057.77

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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.