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Finding the Fourth Proportional to 10,598.74, 14,626.97 and 6,122.68

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Solution

The fourth proportional to 10,598.74, 14,626.97 and 6,122.68 is: 8,449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.74 : 14,626.97 = 6,122.68 : x
  2. Step 2: Convert to fraction form
    10,598.74/14,626.97 = 6,122.68/x
  3. Step 3: Cross multiply
    10,598.74x = 14,626.97 × 6,122.68
  4. Step 4: Simplify right side
    10,598.74x = 89,556,256.68
  5. Step 5: Solve for x
    x = 89,556,256.68/10,598.74
  6. Step 6: Final answer
    x = 8,449.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.