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Finding the Fourth Proportional to 7,762.82, 11,646.96 and 3,379.70

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Solution

The fourth proportional to 7,762.82, 11,646.96 and 3,379.70 is: 5,070.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.82 : 11,646.96 = 3,379.70 : x
  2. Step 2: Convert to fraction form
    7,762.82/11,646.96 = 3,379.70/x
  3. Step 3: Cross multiply
    7,762.82x = 11,646.96 × 3,379.70
  4. Step 4: Simplify right side
    7,762.82x = 39,363,230.71
  5. Step 5: Solve for x
    x = 39,363,230.71/7,762.82
  6. Step 6: Final answer
    x = 5,070.74

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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.