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Finding the Fourth Proportional to 10,854.56, 16,284 and 4,614.51

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Solution

The fourth proportional to 10,854.56, 16,284 and 4,614.51 is: 6,922.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.56 : 16,284 = 4,614.51 : x
  2. Step 2: Convert to fraction form
    10,854.56/16,284 = 4,614.51/x
  3. Step 3: Cross multiply
    10,854.56x = 16,284 × 4,614.51
  4. Step 4: Simplify right side
    10,854.56x = 75,142,680.84
  5. Step 5: Solve for x
    x = 75,142,680.84/10,854.56
  6. Step 6: Final answer
    x = 6,922.69

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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.