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Finding the Fourth Proportional to 10,683.86, 16,004.03 and 8,716.50

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Solution

The fourth proportional to 10,683.86, 16,004.03 and 8,716.50 is: 13,057.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.86 : 16,004.03 = 8,716.50 : x
  2. Step 2: Convert to fraction form
    10,683.86/16,004.03 = 8,716.50/x
  3. Step 3: Cross multiply
    10,683.86x = 16,004.03 × 8,716.50
  4. Step 4: Simplify right side
    10,683.86x = 139,499,127.50
  5. Step 5: Solve for x
    x = 139,499,127.50/10,683.86
  6. Step 6: Final answer
    x = 13,057.00

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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.