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Finding the Fourth Proportional to 7,905.71, 11,849.02 and 3,461.47

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Solution

The fourth proportional to 7,905.71, 11,849.02 and 3,461.47 is: 5,188.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.71 : 11,849.02 = 3,461.47 : x
  2. Step 2: Convert to fraction form
    7,905.71/11,849.02 = 3,461.47/x
  3. Step 3: Cross multiply
    7,905.71x = 11,849.02 × 3,461.47
  4. Step 4: Simplify right side
    7,905.71x = 41,015,053.57
  5. Step 5: Solve for x
    x = 41,015,053.57/7,905.71
  6. Step 6: Final answer
    x = 5,188.03

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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.