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Finding the Fourth Proportional to 10,508.26, 15,762.60 and 3,112.84

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Solution

The fourth proportional to 10,508.26, 15,762.60 and 3,112.84 is: 4,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.26 : 15,762.60 = 3,112.84 : x
  2. Step 2: Convert to fraction form
    10,508.26/15,762.60 = 3,112.84/x
  3. Step 3: Cross multiply
    10,508.26x = 15,762.60 × 3,112.84
  4. Step 4: Simplify right side
    10,508.26x = 49,066,451.78
  5. Step 5: Solve for x
    x = 49,066,451.78/10,508.26
  6. Step 6: Final answer
    x = 4,669.32

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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.