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Finding the Fourth Proportional to 10,234.06, 15,351.16 and 3,655.64

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Solution

The fourth proportional to 10,234.06, 15,351.16 and 3,655.64 is: 5,483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.06 : 15,351.16 = 3,655.64 : x
  2. Step 2: Convert to fraction form
    10,234.06/15,351.16 = 3,655.64/x
  3. Step 3: Cross multiply
    10,234.06x = 15,351.16 × 3,655.64
  4. Step 4: Simplify right side
    10,234.06x = 56,118,314.54
  5. Step 5: Solve for x
    x = 56,118,314.54/10,234.06
  6. Step 6: Final answer
    x = 5,483.49

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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.