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Finding the Fourth Proportional to 10,854.40, 16,289.80 and 7,940.22

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Solution

The fourth proportional to 10,854.40, 16,289.80 and 7,940.22 is: 11,916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.40 : 16,289.80 = 7,940.22 : x
  2. Step 2: Convert to fraction form
    10,854.40/16,289.80 = 7,940.22/x
  3. Step 3: Cross multiply
    10,854.40x = 16,289.80 × 7,940.22
  4. Step 4: Simplify right side
    10,854.40x = 129,344,595.76
  5. Step 5: Solve for x
    x = 129,344,595.76/10,854.40
  6. Step 6: Final answer
    x = 11,916.33

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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.