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Finding the Fourth Proportional to 10,854.78, 16,284.54 and 4,614.96

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Solution

The fourth proportional to 10,854.78, 16,284.54 and 4,614.96 is: 6,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.78 : 16,284.54 = 4,614.96 : x
  2. Step 2: Convert to fraction form
    10,854.78/16,284.54 = 4,614.96/x
  3. Step 3: Cross multiply
    10,854.78x = 16,284.54 × 4,614.96
  4. Step 4: Simplify right side
    10,854.78x = 75,152,500.72
  5. Step 5: Solve for x
    x = 75,152,500.72/10,854.78
  6. Step 6: Final answer
    x = 6,923.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.