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Finding the Fourth Proportional to 10,404.99, 15,609.03 and 3,830.70

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Solution

The fourth proportional to 10,404.99, 15,609.03 and 3,830.70 is: 5,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.99 : 15,609.03 = 3,830.70 : x
  2. Step 2: Convert to fraction form
    10,404.99/15,609.03 = 3,830.70/x
  3. Step 3: Cross multiply
    10,404.99x = 15,609.03 × 3,830.70
  4. Step 4: Simplify right side
    10,404.99x = 59,793,511.22
  5. Step 5: Solve for x
    x = 59,793,511.22/10,404.99
  6. Step 6: Final answer
    x = 5,746.62

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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.