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Finding the Fourth Proportional to 10,814.62, 14,924.16 and 6,098.92

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Solution

The fourth proportional to 10,814.62, 14,924.16 and 6,098.92 is: 8,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.62 : 14,924.16 = 6,098.92 : x
  2. Step 2: Convert to fraction form
    10,814.62/14,924.16 = 6,098.92/x
  3. Step 3: Cross multiply
    10,814.62x = 14,924.16 × 6,098.92
  4. Step 4: Simplify right side
    10,814.62x = 91,021,257.91
  5. Step 5: Solve for x
    x = 91,021,257.91/10,814.62
  6. Step 6: Final answer
    x = 8,416.50

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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.