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Finding the Fourth Proportional to 6,925.10, 10,434.39 and 5,719.51

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Solution

The fourth proportional to 6,925.10, 10,434.39 and 5,719.51 is: 8,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,925.10 : 10,434.39 = 5,719.51 : x
  2. Step 2: Convert to fraction form
    6,925.10/10,434.39 = 5,719.51/x
  3. Step 3: Cross multiply
    6,925.10x = 10,434.39 × 5,719.51
  4. Step 4: Simplify right side
    6,925.10x = 59,679,589.54
  5. Step 5: Solve for x
    x = 59,679,589.54/6,925.10
  6. Step 6: Final answer
    x = 8,617.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.