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Finding the Fourth Proportional to 7,756.16, 11,633.82 and 2,561.84

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Solution

The fourth proportional to 7,756.16, 11,633.82 and 2,561.84 is: 3,842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.16 : 11,633.82 = 2,561.84 : x
  2. Step 2: Convert to fraction form
    7,756.16/11,633.82 = 2,561.84/x
  3. Step 3: Cross multiply
    7,756.16x = 11,633.82 × 2,561.84
  4. Step 4: Simplify right side
    7,756.16x = 29,803,985.43
  5. Step 5: Solve for x
    x = 29,803,985.43/7,756.16
  6. Step 6: Final answer
    x = 3,842.62

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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.