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Finding the Fourth Proportional to 7,682.49, 11,523.74 and 2,488.77

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Solution

The fourth proportional to 7,682.49, 11,523.74 and 2,488.77 is: 3,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.49 : 11,523.74 = 2,488.77 : x
  2. Step 2: Convert to fraction form
    7,682.49/11,523.74 = 2,488.77/x
  3. Step 3: Cross multiply
    7,682.49x = 11,523.74 × 2,488.77
  4. Step 4: Simplify right side
    7,682.49x = 28,679,925.96
  5. Step 5: Solve for x
    x = 28,679,925.96/7,682.49
  6. Step 6: Final answer
    x = 3,733.16

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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.