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Finding the Fourth Proportional to 10,465.92, 14,445.45 and 5,992.25

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Solution

The fourth proportional to 10,465.92, 14,445.45 and 5,992.25 is: 8,270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.92 : 14,445.45 = 5,992.25 : x
  2. Step 2: Convert to fraction form
    10,465.92/14,445.45 = 5,992.25/x
  3. Step 3: Cross multiply
    10,465.92x = 14,445.45 × 5,992.25
  4. Step 4: Simplify right side
    10,465.92x = 86,560,675.54
  5. Step 5: Solve for x
    x = 86,560,675.54/10,465.92
  6. Step 6: Final answer
    x = 8,270.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.