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Finding the Fourth Proportional to 10,854.14, 16,281.22 and 5,007.56

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Solution

The fourth proportional to 10,854.14, 16,281.22 and 5,007.56 is: 7,511.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.14 : 16,281.22 = 5,007.56 : x
  2. Step 2: Convert to fraction form
    10,854.14/16,281.22 = 5,007.56/x
  3. Step 3: Cross multiply
    10,854.14x = 16,281.22 × 5,007.56
  4. Step 4: Simplify right side
    10,854.14x = 81,529,186.02
  5. Step 5: Solve for x
    x = 81,529,186.02/10,854.14
  6. Step 6: Final answer
    x = 7,511.34

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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.