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Finding the Fourth Proportional to 7,186.49, 10,784.64 and 2,506.52

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Solution

The fourth proportional to 7,186.49, 10,784.64 and 2,506.52 is: 3,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.49 : 10,784.64 = 2,506.52 : x
  2. Step 2: Convert to fraction form
    7,186.49/10,784.64 = 2,506.52/x
  3. Step 3: Cross multiply
    7,186.49x = 10,784.64 × 2,506.52
  4. Step 4: Simplify right side
    7,186.49x = 27,031,861.93
  5. Step 5: Solve for x
    x = 27,031,861.93/7,186.49
  6. Step 6: Final answer
    x = 3,761.49

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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.