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Finding the Fourth Proportional to 7,502.59, 11,245.77 and 5,647.96

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Solution

The fourth proportional to 7,502.59, 11,245.77 and 5,647.96 is: 8,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.59 : 11,245.77 = 5,647.96 : x
  2. Step 2: Convert to fraction form
    7,502.59/11,245.77 = 5,647.96/x
  3. Step 3: Cross multiply
    7,502.59x = 11,245.77 × 5,647.96
  4. Step 4: Simplify right side
    7,502.59x = 63,515,673.19
  5. Step 5: Solve for x
    x = 63,515,673.19/7,502.59
  6. Step 6: Final answer
    x = 8,465.83

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Why These Related Problems?

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