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Finding the Fourth Proportional to 10,414.52, 15,606.84 and 4,489.84

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Solution

The fourth proportional to 10,414.52, 15,606.84 and 4,489.84 is: 6,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.52 : 15,606.84 = 4,489.84 : x
  2. Step 2: Convert to fraction form
    10,414.52/15,606.84 = 4,489.84/x
  3. Step 3: Cross multiply
    10,414.52x = 15,606.84 × 4,489.84
  4. Step 4: Simplify right side
    10,414.52x = 70,072,214.51
  5. Step 5: Solve for x
    x = 70,072,214.51/10,414.52
  6. Step 6: Final answer
    x = 6,728.32

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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.