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Finding the Fourth Proportional to 10,651.61, 14,695.34 and 6,173.73

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Solution

The fourth proportional to 10,651.61, 14,695.34 and 6,173.73 is: 8,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.61 : 14,695.34 = 6,173.73 : x
  2. Step 2: Convert to fraction form
    10,651.61/14,695.34 = 6,173.73/x
  3. Step 3: Cross multiply
    10,651.61x = 14,695.34 × 6,173.73
  4. Step 4: Simplify right side
    10,651.61x = 90,725,030.55
  5. Step 5: Solve for x
    x = 90,725,030.55/10,651.61
  6. Step 6: Final answer
    x = 8,517.50

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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.