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Finding the Fourth Proportional to 10,814.88, 14,924.54 and 6,099.17

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Solution

The fourth proportional to 10,814.88, 14,924.54 and 6,099.17 is: 8,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.88 : 14,924.54 = 6,099.17 : x
  2. Step 2: Convert to fraction form
    10,814.88/14,924.54 = 6,099.17/x
  3. Step 3: Cross multiply
    10,814.88x = 14,924.54 × 6,099.17
  4. Step 4: Simplify right side
    10,814.88x = 91,027,201.51
  5. Step 5: Solve for x
    x = 91,027,201.51/10,814.88
  6. Step 6: Final answer
    x = 8,416.85

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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.