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Finding the Fourth Proportional to 10,288.16, 14,197.92 and 6,311.47

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Solution

The fourth proportional to 10,288.16, 14,197.92 and 6,311.47 is: 8,709.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.16 : 14,197.92 = 6,311.47 : x
  2. Step 2: Convert to fraction form
    10,288.16/14,197.92 = 6,311.47/x
  3. Step 3: Cross multiply
    10,288.16x = 14,197.92 × 6,311.47
  4. Step 4: Simplify right side
    10,288.16x = 89,609,746.14
  5. Step 5: Solve for x
    x = 89,609,746.14/10,288.16
  6. Step 6: Final answer
    x = 8,709.99

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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.