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Finding the Fourth Proportional to 26,908.51, 40,362.76 and 7,186.02

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Solution

The fourth proportional to 26,908.51, 40,362.76 and 7,186.02 is: 10,779.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,908.51 : 40,362.76 = 7,186.02 : x
  2. Step 2: Convert to fraction form
    26,908.51/40,362.76 = 7,186.02/x
  3. Step 3: Cross multiply
    26,908.51x = 40,362.76 × 7,186.02
  4. Step 4: Simplify right side
    26,908.51x = 290,047,600.62
  5. Step 5: Solve for x
    x = 290,047,600.62/26,908.51
  6. Step 6: Final answer
    x = 10,779.03

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Why These Related Problems?

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