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Finding the Fourth Proportional to 7,486.86, 10,319.49 and 5,496.69

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Solution

The fourth proportional to 7,486.86, 10,319.49 and 5,496.69 is: 7,576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.86 : 10,319.49 = 5,496.69 : x
  2. Step 2: Convert to fraction form
    7,486.86/10,319.49 = 5,496.69/x
  3. Step 3: Cross multiply
    7,486.86x = 10,319.49 × 5,496.69
  4. Step 4: Simplify right side
    7,486.86x = 56,723,037.49
  5. Step 5: Solve for x
    x = 56,723,037.49/7,486.86
  6. Step 6: Final answer
    x = 7,576.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.