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Finding the Fourth Proportional to 8,390.69, 11,579.43 and 4,614

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Solution

The fourth proportional to 8,390.69, 11,579.43 and 4,614 is: 6,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.69 : 11,579.43 = 4,614 : x
  2. Step 2: Convert to fraction form
    8,390.69/11,579.43 = 4,614/x
  3. Step 3: Cross multiply
    8,390.69x = 11,579.43 × 4,614
  4. Step 4: Simplify right side
    8,390.69x = 53,427,490.02
  5. Step 5: Solve for x
    x = 53,427,490.02/8,390.69
  6. Step 6: Final answer
    x = 6,367.48

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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.