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Finding the Fourth Proportional to 10,688.70, 16,028 and 6,247.64

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Solution

The fourth proportional to 10,688.70, 16,028 and 6,247.64 is: 9,368.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.70 : 16,028 = 6,247.64 : x
  2. Step 2: Convert to fraction form
    10,688.70/16,028 = 6,247.64/x
  3. Step 3: Cross multiply
    10,688.70x = 16,028 × 6,247.64
  4. Step 4: Simplify right side
    10,688.70x = 100,137,173.92
  5. Step 5: Solve for x
    x = 100,137,173.92/10,688.70
  6. Step 6: Final answer
    x = 9,368.51

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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.