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Finding the Fourth Proportional to 10,417.86, 15,626.79 and 2,627.28

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Solution

The fourth proportional to 10,417.86, 15,626.79 and 2,627.28 is: 3,940.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.86 : 15,626.79 = 2,627.28 : x
  2. Step 2: Convert to fraction form
    10,417.86/15,626.79 = 2,627.28/x
  3. Step 3: Cross multiply
    10,417.86x = 15,626.79 × 2,627.28
  4. Step 4: Simplify right side
    10,417.86x = 41,055,952.83
  5. Step 5: Solve for x
    x = 41,055,952.83/10,417.86
  6. Step 6: Final answer
    x = 3,940.92

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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.