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Finding the Fourth Proportional to 10,182.06, 14,032.23 and 7,940.40

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Solution

The fourth proportional to 10,182.06, 14,032.23 and 7,940.40 is: 10,942.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.06 : 14,032.23 = 7,940.40 : x
  2. Step 2: Convert to fraction form
    10,182.06/14,032.23 = 7,940.40/x
  3. Step 3: Cross multiply
    10,182.06x = 14,032.23 × 7,940.40
  4. Step 4: Simplify right side
    10,182.06x = 111,421,519.09
  5. Step 5: Solve for x
    x = 111,421,519.09/10,182.06
  6. Step 6: Final answer
    x = 10,942.93

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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.