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Finding the Fourth Proportional to 7,681.91, 11,518.53 and 2,996.57

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Solution

The fourth proportional to 7,681.91, 11,518.53 and 2,996.57 is: 4,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.91 : 11,518.53 = 2,996.57 : x
  2. Step 2: Convert to fraction form
    7,681.91/11,518.53 = 2,996.57/x
  3. Step 3: Cross multiply
    7,681.91x = 11,518.53 × 2,996.57
  4. Step 4: Simplify right side
    7,681.91x = 34,516,023.85
  5. Step 5: Solve for x
    x = 34,516,023.85/7,681.91
  6. Step 6: Final answer
    x = 4,493.16

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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.