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Finding the Fourth Proportional to 10,414.51, 15,627.84 and 4,177.51

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Solution

The fourth proportional to 10,414.51, 15,627.84 and 4,177.51 is: 6,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.51 : 15,627.84 = 4,177.51 : x
  2. Step 2: Convert to fraction form
    10,414.51/15,627.84 = 4,177.51/x
  3. Step 3: Cross multiply
    10,414.51x = 15,627.84 × 4,177.51
  4. Step 4: Simplify right side
    10,414.51x = 65,285,457.88
  5. Step 5: Solve for x
    x = 65,285,457.88/10,414.51
  6. Step 6: Final answer
    x = 6,268.70

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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.