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Finding the Fourth Proportional to 6,953.88, 10,434.92 and 2,574.40

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Solution

The fourth proportional to 6,953.88, 10,434.92 and 2,574.40 is: 3,863.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.88 : 10,434.92 = 2,574.40 : x
  2. Step 2: Convert to fraction form
    6,953.88/10,434.92 = 2,574.40/x
  3. Step 3: Cross multiply
    6,953.88x = 10,434.92 × 2,574.40
  4. Step 4: Simplify right side
    6,953.88x = 26,863,658.05
  5. Step 5: Solve for x
    x = 26,863,658.05/6,953.88
  6. Step 6: Final answer
    x = 3,863.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.