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Finding the Fourth Proportional to 10,347.85, 15,522.06 and 3,778.93

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Solution

The fourth proportional to 10,347.85, 15,522.06 and 3,778.93 is: 5,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.85 : 15,522.06 = 3,778.93 : x
  2. Step 2: Convert to fraction form
    10,347.85/15,522.06 = 3,778.93/x
  3. Step 3: Cross multiply
    10,347.85x = 15,522.06 × 3,778.93
  4. Step 4: Simplify right side
    10,347.85x = 58,656,778.20
  5. Step 5: Solve for x
    x = 58,656,778.20/10,347.85
  6. Step 6: Final answer
    x = 5,668.50

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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.