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Finding the Fourth Proportional to 8,357.87, 12,530.31 and 3,737.63

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Solution

The fourth proportional to 8,357.87, 12,530.31 and 3,737.63 is: 5,603.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.87 : 12,530.31 = 3,737.63 : x
  2. Step 2: Convert to fraction form
    8,357.87/12,530.31 = 3,737.63/x
  3. Step 3: Cross multiply
    8,357.87x = 12,530.31 × 3,737.63
  4. Step 4: Simplify right side
    8,357.87x = 46,833,599.91
  5. Step 5: Solve for x
    x = 46,833,599.91/8,357.87
  6. Step 6: Final answer
    x = 5,603.54

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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.