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Finding the Fourth Proportional to 11,673.77, 17,500.82 and 5,430.60

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Solution

The fourth proportional to 11,673.77, 17,500.82 and 5,430.60 is: 8,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.77 : 17,500.82 = 5,430.60 : x
  2. Step 2: Convert to fraction form
    11,673.77/17,500.82 = 5,430.60/x
  3. Step 3: Cross multiply
    11,673.77x = 17,500.82 × 5,430.60
  4. Step 4: Simplify right side
    11,673.77x = 95,039,925.94
  5. Step 5: Solve for x
    x = 95,039,925.94/11,673.77
  6. Step 6: Final answer
    x = 8,141.33

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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.