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Finding the Fourth Proportional to 10,205.70, 15,299.89 and 4,657.10

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Solution

The fourth proportional to 10,205.70, 15,299.89 and 4,657.10 is: 6,981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.70 : 15,299.89 = 4,657.10 : x
  2. Step 2: Convert to fraction form
    10,205.70/15,299.89 = 4,657.10/x
  3. Step 3: Cross multiply
    10,205.70x = 15,299.89 × 4,657.10
  4. Step 4: Simplify right side
    10,205.70x = 71,253,029.58
  5. Step 5: Solve for x
    x = 71,253,029.58/10,205.70
  6. Step 6: Final answer
    x = 6,981.69

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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.