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Finding the Fourth Proportional to 7,305.51, 10,959.89 and 3,407.79

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Solution

The fourth proportional to 7,305.51, 10,959.89 and 3,407.79 is: 5,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305.51 : 10,959.89 = 3,407.79 : x
  2. Step 2: Convert to fraction form
    7,305.51/10,959.89 = 3,407.79/x
  3. Step 3: Cross multiply
    7,305.51x = 10,959.89 × 3,407.79
  4. Step 4: Simplify right side
    7,305.51x = 37,348,986.50
  5. Step 5: Solve for x
    x = 37,348,986.50/7,305.51
  6. Step 6: Final answer
    x = 5,112.44

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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.