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Finding the Fourth Proportional to 7,134.71, 9,846.25 and 4,110.28

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Solution

The fourth proportional to 7,134.71, 9,846.25 and 4,110.28 is: 5,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.71 : 9,846.25 = 4,110.28 : x
  2. Step 2: Convert to fraction form
    7,134.71/9,846.25 = 4,110.28/x
  3. Step 3: Cross multiply
    7,134.71x = 9,846.25 × 4,110.28
  4. Step 4: Simplify right side
    7,134.71x = 40,470,888.06
  5. Step 5: Solve for x
    x = 40,470,888.06/7,134.71
  6. Step 6: Final answer
    x = 5,672.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.