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Finding the Fourth Proportional to 7,277.76, 10,057.32 and 5,506.20

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Solution

The fourth proportional to 7,277.76, 10,057.32 and 5,506.20 is: 7,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.76 : 10,057.32 = 5,506.20 : x
  2. Step 2: Convert to fraction form
    7,277.76/10,057.32 = 5,506.20/x
  3. Step 3: Cross multiply
    7,277.76x = 10,057.32 × 5,506.20
  4. Step 4: Simplify right side
    7,277.76x = 55,377,615.38
  5. Step 5: Solve for x
    x = 55,377,615.38/7,277.76
  6. Step 6: Final answer
    x = 7,609.16

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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.