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Finding the Fourth Proportional to 10,683.36, 16,003.28 and 8,716

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Solution

The fourth proportional to 10,683.36, 16,003.28 and 8,716 is: 13,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.36 : 16,003.28 = 8,716 : x
  2. Step 2: Convert to fraction form
    10,683.36/16,003.28 = 8,716/x
  3. Step 3: Cross multiply
    10,683.36x = 16,003.28 × 8,716
  4. Step 4: Simplify right side
    10,683.36x = 139,484,588.48
  5. Step 5: Solve for x
    x = 139,484,588.48/10,683.36
  6. Step 6: Final answer
    x = 13,056.25

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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.