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Finding the Fourth Proportional to 8,425.74, 11,627.57 and 4,649.02

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Solution

The fourth proportional to 8,425.74, 11,627.57 and 4,649.02 is: 6,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.74 : 11,627.57 = 4,649.02 : x
  2. Step 2: Convert to fraction form
    8,425.74/11,627.57 = 4,649.02/x
  3. Step 3: Cross multiply
    8,425.74x = 11,627.57 × 4,649.02
  4. Step 4: Simplify right side
    8,425.74x = 54,056,805.48
  5. Step 5: Solve for x
    x = 54,056,805.48/8,425.74
  6. Step 6: Final answer
    x = 6,415.67

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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.