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Finding the Fourth Proportional to 10,642.01, 14,685.99 and 6,166.62

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Solution

The fourth proportional to 10,642.01, 14,685.99 and 6,166.62 is: 8,509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.01 : 14,685.99 = 6,166.62 : x
  2. Step 2: Convert to fraction form
    10,642.01/14,685.99 = 6,166.62/x
  3. Step 3: Cross multiply
    10,642.01x = 14,685.99 × 6,166.62
  4. Step 4: Simplify right side
    10,642.01x = 90,562,896.53
  5. Step 5: Solve for x
    x = 90,562,896.53/10,642.01
  6. Step 6: Final answer
    x = 8,509.95

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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.