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Finding the Fourth Proportional to 10,137.87, 15,196.64 and 4,206.69

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Solution

The fourth proportional to 10,137.87, 15,196.64 and 4,206.69 is: 6,305.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.87 : 15,196.64 = 4,206.69 : x
  2. Step 2: Convert to fraction form
    10,137.87/15,196.64 = 4,206.69/x
  3. Step 3: Cross multiply
    10,137.87x = 15,196.64 × 4,206.69
  4. Step 4: Simplify right side
    10,137.87x = 63,927,532.49
  5. Step 5: Solve for x
    x = 63,927,532.49/10,137.87
  6. Step 6: Final answer
    x = 6,305.81

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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.