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Finding the Fourth Proportional to 10,854, 16,281.69 and 3,063.42

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Solution

The fourth proportional to 10,854, 16,281.69 and 3,063.42 is: 4,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854 : 16,281.69 = 3,063.42 : x
  2. Step 2: Convert to fraction form
    10,854/16,281.69 = 3,063.42/x
  3. Step 3: Cross multiply
    10,854x = 16,281.69 × 3,063.42
  4. Step 4: Simplify right side
    10,854x = 49,877,654.78
  5. Step 5: Solve for x
    x = 49,877,654.78/10,854
  6. Step 6: Final answer
    x = 4,595.32

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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.