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Finding the Fourth Proportional to 10,404, 15,607.55 and 3,829.68

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Solution

The fourth proportional to 10,404, 15,607.55 and 3,829.68 is: 5,745.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404 : 15,607.55 = 3,829.68 : x
  2. Step 2: Convert to fraction form
    10,404/15,607.55 = 3,829.68/x
  3. Step 3: Cross multiply
    10,404x = 15,607.55 × 3,829.68
  4. Step 4: Simplify right side
    10,404x = 59,771,931.66
  5. Step 5: Solve for x
    x = 59,771,931.66/10,404
  6. Step 6: Final answer
    x = 5,745.09

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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.