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Finding the Fourth Proportional to 10,138.70, 15,208.96 and 3,564.95

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Solution

The fourth proportional to 10,138.70, 15,208.96 and 3,564.95 is: 5,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.70 : 15,208.96 = 3,564.95 : x
  2. Step 2: Convert to fraction form
    10,138.70/15,208.96 = 3,564.95/x
  3. Step 3: Cross multiply
    10,138.70x = 15,208.96 × 3,564.95
  4. Step 4: Simplify right side
    10,138.70x = 54,219,088.08
  5. Step 5: Solve for x
    x = 54,219,088.08/10,138.70
  6. Step 6: Final answer
    x = 5,347.73

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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.