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Finding the Fourth Proportional to 10,688.94, 16,037.06 and 5,759.09

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Solution

The fourth proportional to 10,688.94, 16,037.06 and 5,759.09 is: 8,640.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.94 : 16,037.06 = 5,759.09 : x
  2. Step 2: Convert to fraction form
    10,688.94/16,037.06 = 5,759.09/x
  3. Step 3: Cross multiply
    10,688.94x = 16,037.06 × 5,759.09
  4. Step 4: Simplify right side
    10,688.94x = 92,358,762.89
  5. Step 5: Solve for x
    x = 92,358,762.89/10,688.94
  6. Step 6: Final answer
    x = 8,640.59

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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.