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Finding the Fourth Proportional to 6,712.74, 10,069.47 and 3,784.50

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Solution

The fourth proportional to 6,712.74, 10,069.47 and 3,784.50 is: 5,676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.74 : 10,069.47 = 3,784.50 : x
  2. Step 2: Convert to fraction form
    6,712.74/10,069.47 = 3,784.50/x
  3. Step 3: Cross multiply
    6,712.74x = 10,069.47 × 3,784.50
  4. Step 4: Simplify right side
    6,712.74x = 38,107,909.22
  5. Step 5: Solve for x
    x = 38,107,909.22/6,712.74
  6. Step 6: Final answer
    x = 5,676.95

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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.