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Finding the Fourth Proportional to 11,282.16, 16,910.16 and 5,430.72

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Solution

The fourth proportional to 11,282.16, 16,910.16 and 5,430.72 is: 8,139.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,282.16 : 16,910.16 = 5,430.72 : x
  2. Step 2: Convert to fraction form
    11,282.16/16,910.16 = 5,430.72/x
  3. Step 3: Cross multiply
    11,282.16x = 16,910.16 × 5,430.72
  4. Step 4: Simplify right side
    11,282.16x = 91,834,344.12
  5. Step 5: Solve for x
    x = 91,834,344.12/11,282.16
  6. Step 6: Final answer
    x = 8,139.78

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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.