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Finding the Fourth Proportional to 8,357.16, 12,536.86 and 2,513

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Solution

The fourth proportional to 8,357.16, 12,536.86 and 2,513 is: 3,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.16 : 12,536.86 = 2,513 : x
  2. Step 2: Convert to fraction form
    8,357.16/12,536.86 = 2,513/x
  3. Step 3: Cross multiply
    8,357.16x = 12,536.86 × 2,513
  4. Step 4: Simplify right side
    8,357.16x = 31,505,129.18
  5. Step 5: Solve for x
    x = 31,505,129.18/8,357.16
  6. Step 6: Final answer
    x = 3,769.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.