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Finding the Fourth Proportional to 7,187.22, 9,919.53 and 6,007.86

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Solution

The fourth proportional to 7,187.22, 9,919.53 and 6,007.86 is: 8,291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.22 : 9,919.53 = 6,007.86 : x
  2. Step 2: Convert to fraction form
    7,187.22/9,919.53 = 6,007.86/x
  3. Step 3: Cross multiply
    7,187.22x = 9,919.53 × 6,007.86
  4. Step 4: Simplify right side
    7,187.22x = 59,595,147.51
  5. Step 5: Solve for x
    x = 59,595,147.51/7,187.22
  6. Step 6: Final answer
    x = 8,291.82

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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.