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Finding the Fourth Proportional to 10,733.98, 16,101.03 and 4,886.50

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Solution

The fourth proportional to 10,733.98, 16,101.03 and 4,886.50 is: 7,329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,733.98 : 16,101.03 = 4,886.50 : x
  2. Step 2: Convert to fraction form
    10,733.98/16,101.03 = 4,886.50/x
  3. Step 3: Cross multiply
    10,733.98x = 16,101.03 × 4,886.50
  4. Step 4: Simplify right side
    10,733.98x = 78,677,683.10
  5. Step 5: Solve for x
    x = 78,677,683.10/10,733.98
  6. Step 6: Final answer
    x = 7,329.78

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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.