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Finding the Fourth Proportional to 10,836, 16,250.70 and 5,639.04

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Solution

The fourth proportional to 10,836, 16,250.70 and 5,639.04 is: 8,456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,836 : 16,250.70 = 5,639.04 : x
  2. Step 2: Convert to fraction form
    10,836/16,250.70 = 5,639.04/x
  3. Step 3: Cross multiply
    10,836x = 16,250.70 × 5,639.04
  4. Step 4: Simplify right side
    10,836x = 91,638,347.33
  5. Step 5: Solve for x
    x = 91,638,347.33/10,836
  6. Step 6: Final answer
    x = 8,456.84

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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.