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Finding the Fourth Proportional to 10,093.64, 15,140.52 and 3,519.80

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Solution

The fourth proportional to 10,093.64, 15,140.52 and 3,519.80 is: 5,279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.64 : 15,140.52 = 3,519.80 : x
  2. Step 2: Convert to fraction form
    10,093.64/15,140.52 = 3,519.80/x
  3. Step 3: Cross multiply
    10,093.64x = 15,140.52 × 3,519.80
  4. Step 4: Simplify right side
    10,093.64x = 53,291,602.30
  5. Step 5: Solve for x
    x = 53,291,602.30/10,093.64
  6. Step 6: Final answer
    x = 5,279.72

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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.