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Finding the Fourth Proportional to 11,000.96, 15,182.12 and 6,285.14

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Solution

The fourth proportional to 11,000.96, 15,182.12 and 6,285.14 is: 8,673.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.96 : 15,182.12 = 6,285.14 : x
  2. Step 2: Convert to fraction form
    11,000.96/15,182.12 = 6,285.14/x
  3. Step 3: Cross multiply
    11,000.96x = 15,182.12 × 6,285.14
  4. Step 4: Simplify right side
    11,000.96x = 95,421,689.50
  5. Step 5: Solve for x
    x = 95,421,689.50/11,000.96
  6. Step 6: Final answer
    x = 8,673.95

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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.