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Finding the Fourth Proportional to 10,404.92, 15,608.93 and 3,830.60

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Solution

The fourth proportional to 10,404.92, 15,608.93 and 3,830.60 is: 5,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.92 : 15,608.93 = 3,830.60 : x
  2. Step 2: Convert to fraction form
    10,404.92/15,608.93 = 3,830.60/x
  3. Step 3: Cross multiply
    10,404.92x = 15,608.93 × 3,830.60
  4. Step 4: Simplify right side
    10,404.92x = 59,791,587.13
  5. Step 5: Solve for x
    x = 59,791,587.13/10,404.92
  6. Step 6: Final answer
    x = 5,746.48

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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.