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Finding the Fourth Proportional to 6,776.42, 9,360.39 and 5,202.51

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Solution

The fourth proportional to 6,776.42, 9,360.39 and 5,202.51 is: 7,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.42 : 9,360.39 = 5,202.51 : x
  2. Step 2: Convert to fraction form
    6,776.42/9,360.39 = 5,202.51/x
  3. Step 3: Cross multiply
    6,776.42x = 9,360.39 × 5,202.51
  4. Step 4: Simplify right side
    6,776.42x = 48,697,516.08
  5. Step 5: Solve for x
    x = 48,697,516.08/6,776.42
  6. Step 6: Final answer
    x = 7,186.32

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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.