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Finding the Fourth Proportional to 7,638.82, 11,459.95 and 3,477.71

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Solution

The fourth proportional to 7,638.82, 11,459.95 and 3,477.71 is: 5,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.82 : 11,459.95 = 3,477.71 : x
  2. Step 2: Convert to fraction form
    7,638.82/11,459.95 = 3,477.71/x
  3. Step 3: Cross multiply
    7,638.82x = 11,459.95 × 3,477.71
  4. Step 4: Simplify right side
    7,638.82x = 39,854,382.71
  5. Step 5: Solve for x
    x = 39,854,382.71/7,638.82
  6. Step 6: Final answer
    x = 5,217.35

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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.