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Finding the Fourth Proportional to 10,857.95, 14,981.54 and 6,611.23

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Solution

The fourth proportional to 10,857.95, 14,981.54 and 6,611.23 is: 9,122.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.95 : 14,981.54 = 6,611.23 : x
  2. Step 2: Convert to fraction form
    10,857.95/14,981.54 = 6,611.23/x
  3. Step 3: Cross multiply
    10,857.95x = 14,981.54 × 6,611.23
  4. Step 4: Simplify right side
    10,857.95x = 99,046,406.69
  5. Step 5: Solve for x
    x = 99,046,406.69/10,857.95
  6. Step 6: Final answer
    x = 9,122.02

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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.