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Finding the Fourth Proportional to 11,344.96, 15,654.92 and 7,095.20

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Solution

The fourth proportional to 11,344.96, 15,654.92 and 7,095.20 is: 9,790.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.96 : 15,654.92 = 7,095.20 : x
  2. Step 2: Convert to fraction form
    11,344.96/15,654.92 = 7,095.20/x
  3. Step 3: Cross multiply
    11,344.96x = 15,654.92 × 7,095.20
  4. Step 4: Simplify right side
    11,344.96x = 111,074,788.38
  5. Step 5: Solve for x
    x = 111,074,788.38/11,344.96
  6. Step 6: Final answer
    x = 9,790.67

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Why These Related Problems?

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