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Finding the Fourth Proportional to 7,850.01, 11,829.03 and 6,493.86

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Solution

The fourth proportional to 7,850.01, 11,829.03 and 6,493.86 is: 9,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.01 : 11,829.03 = 6,493.86 : x
  2. Step 2: Convert to fraction form
    7,850.01/11,829.03 = 6,493.86/x
  3. Step 3: Cross multiply
    7,850.01x = 11,829.03 × 6,493.86
  4. Step 4: Simplify right side
    7,850.01x = 76,816,064.76
  5. Step 5: Solve for x
    x = 76,816,064.76/7,850.01
  6. Step 6: Final answer
    x = 9,785.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.