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Finding the Fourth Proportional to 7,781.85, 11,666.84 and 3,888.99

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Solution

The fourth proportional to 7,781.85, 11,666.84 and 3,888.99 is: 5,830.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.85 : 11,666.84 = 3,888.99 : x
  2. Step 2: Convert to fraction form
    7,781.85/11,666.84 = 3,888.99/x
  3. Step 3: Cross multiply
    7,781.85x = 11,666.84 × 3,888.99
  4. Step 4: Simplify right side
    7,781.85x = 45,372,204.65
  5. Step 5: Solve for x
    x = 45,372,204.65/7,781.85
  6. Step 6: Final answer
    x = 5,830.52

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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.