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Finding the Fourth Proportional to 7,205.88, 10,826.10 and 4,613.88

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Solution

The fourth proportional to 7,205.88, 10,826.10 and 4,613.88 is: 6,931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.88 : 10,826.10 = 4,613.88 : x
  2. Step 2: Convert to fraction form
    7,205.88/10,826.10 = 4,613.88/x
  3. Step 3: Cross multiply
    7,205.88x = 10,826.10 × 4,613.88
  4. Step 4: Simplify right side
    7,205.88x = 49,950,326.27
  5. Step 5: Solve for x
    x = 49,950,326.27/7,205.88
  6. Step 6: Final answer
    x = 6,931.88

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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.