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Finding the Fourth Proportional to 10,063.86, 15,102.69 and 3,490.05

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Solution

The fourth proportional to 10,063.86, 15,102.69 and 3,490.05 is: 5,237.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,063.86 : 15,102.69 = 3,490.05 : x
  2. Step 2: Convert to fraction form
    10,063.86/15,102.69 = 3,490.05/x
  3. Step 3: Cross multiply
    10,063.86x = 15,102.69 × 3,490.05
  4. Step 4: Simplify right side
    10,063.86x = 52,709,143.23
  5. Step 5: Solve for x
    x = 52,709,143.23/10,063.86
  6. Step 6: Final answer
    x = 5,237.47

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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.