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Finding the Fourth Proportional to 10,900.88, 16,365.66 and 6,466.70

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Solution

The fourth proportional to 10,900.88, 16,365.66 and 6,466.70 is: 9,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.88 : 16,365.66 = 6,466.70 : x
  2. Step 2: Convert to fraction form
    10,900.88/16,365.66 = 6,466.70/x
  3. Step 3: Cross multiply
    10,900.88x = 16,365.66 × 6,466.70
  4. Step 4: Simplify right side
    10,900.88x = 105,831,813.52
  5. Step 5: Solve for x
    x = 105,831,813.52/10,900.88
  6. Step 6: Final answer
    x = 9,708.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.