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Finding the Fourth Proportional to 10,801.95, 16,173.77 and 6,894.51

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Solution

The fourth proportional to 10,801.95, 16,173.77 and 6,894.51 is: 10,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.95 : 16,173.77 = 6,894.51 : x
  2. Step 2: Convert to fraction form
    10,801.95/16,173.77 = 6,894.51/x
  3. Step 3: Cross multiply
    10,801.95x = 16,173.77 × 6,894.51
  4. Step 4: Simplify right side
    10,801.95x = 111,510,184.53
  5. Step 5: Solve for x
    x = 111,510,184.53/10,801.95
  6. Step 6: Final answer
    x = 10,323.15

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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.