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Finding the Fourth Proportional to 10,650.90, 14,698.30 and 6,177.31

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Solution

The fourth proportional to 10,650.90, 14,698.30 and 6,177.31 is: 8,524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.90 : 14,698.30 = 6,177.31 : x
  2. Step 2: Convert to fraction form
    10,650.90/14,698.30 = 6,177.31/x
  3. Step 3: Cross multiply
    10,650.90x = 14,698.30 × 6,177.31
  4. Step 4: Simplify right side
    10,650.90x = 90,795,955.57
  5. Step 5: Solve for x
    x = 90,795,955.57/10,650.90
  6. Step 6: Final answer
    x = 8,524.72

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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.