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Finding the Fourth Proportional to 10,252.75, 14,148.84 and 5,946.69

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Solution

The fourth proportional to 10,252.75, 14,148.84 and 5,946.69 is: 8,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.75 : 14,148.84 = 5,946.69 : x
  2. Step 2: Convert to fraction form
    10,252.75/14,148.84 = 5,946.69/x
  3. Step 3: Cross multiply
    10,252.75x = 14,148.84 × 5,946.69
  4. Step 4: Simplify right side
    10,252.75x = 84,138,775.82
  5. Step 5: Solve for x
    x = 84,138,775.82/10,252.75
  6. Step 6: Final answer
    x = 8,206.46

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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.