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Finding the Fourth Proportional to 10,930.36, 16,381.80 and 4,683

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Solution

The fourth proportional to 10,930.36, 16,381.80 and 4,683 is: 7,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.36 : 16,381.80 = 4,683 : x
  2. Step 2: Convert to fraction form
    10,930.36/16,381.80 = 4,683/x
  3. Step 3: Cross multiply
    10,930.36x = 16,381.80 × 4,683
  4. Step 4: Simplify right side
    10,930.36x = 76,715,969.40
  5. Step 5: Solve for x
    x = 76,715,969.40/10,930.36
  6. Step 6: Final answer
    x = 7,018.61

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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.