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Finding the Fourth Proportional to 10,068.50, 15,105.44 and 3,494.68

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Solution

The fourth proportional to 10,068.50, 15,105.44 and 3,494.68 is: 5,242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068.50 : 15,105.44 = 3,494.68 : x
  2. Step 2: Convert to fraction form
    10,068.50/15,105.44 = 3,494.68/x
  3. Step 3: Cross multiply
    10,068.50x = 15,105.44 × 3,494.68
  4. Step 4: Simplify right side
    10,068.50x = 52,788,679.06
  5. Step 5: Solve for x
    x = 52,788,679.06/10,068.50
  6. Step 6: Final answer
    x = 5,242.95

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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.