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Finding the Fourth Proportional to 10,814.17, 14,924.07 and 6,098.35

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Solution

The fourth proportional to 10,814.17, 14,924.07 and 6,098.35 is: 8,416.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.17 : 14,924.07 = 6,098.35 : x
  2. Step 2: Convert to fraction form
    10,814.17/14,924.07 = 6,098.35/x
  3. Step 3: Cross multiply
    10,814.17x = 14,924.07 × 6,098.35
  4. Step 4: Simplify right side
    10,814.17x = 91,012,202.28
  5. Step 5: Solve for x
    x = 91,012,202.28/10,814.17
  6. Step 6: Final answer
    x = 8,416.01

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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.