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Finding the Fourth Proportional to 8,507.96, 12,758.12 and 4,558.53

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Solution

The fourth proportional to 8,507.96, 12,758.12 and 4,558.53 is: 6,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.96 : 12,758.12 = 4,558.53 : x
  2. Step 2: Convert to fraction form
    8,507.96/12,758.12 = 4,558.53/x
  3. Step 3: Cross multiply
    8,507.96x = 12,758.12 × 4,558.53
  4. Step 4: Simplify right side
    8,507.96x = 58,158,249.97
  5. Step 5: Solve for x
    x = 58,158,249.97/8,507.96
  6. Step 6: Final answer
    x = 6,835.75

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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.