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Finding the Fourth Proportional to 10,814.78, 14,924.42 and 6,337.64

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Solution

The fourth proportional to 10,814.78, 14,924.42 and 6,337.64 is: 8,745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.78 : 14,924.42 = 6,337.64 : x
  2. Step 2: Convert to fraction form
    10,814.78/14,924.42 = 6,337.64/x
  3. Step 3: Cross multiply
    10,814.78x = 14,924.42 × 6,337.64
  4. Step 4: Simplify right side
    10,814.78x = 94,585,601.17
  5. Step 5: Solve for x
    x = 94,585,601.17/10,814.78
  6. Step 6: Final answer
    x = 8,745.96

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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.