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Finding the Fourth Proportional to 10,854.80, 16,233.40 and 7,930.16

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Solution

The fourth proportional to 10,854.80, 16,233.40 and 7,930.16 is: 11,859.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.80 : 16,233.40 = 7,930.16 : x
  2. Step 2: Convert to fraction form
    10,854.80/16,233.40 = 7,930.16/x
  3. Step 3: Cross multiply
    10,854.80x = 16,233.40 × 7,930.16
  4. Step 4: Simplify right side
    10,854.80x = 128,733,459.34
  5. Step 5: Solve for x
    x = 128,733,459.34/10,854.80
  6. Step 6: Final answer
    x = 11,859.59

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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.