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Finding the Fourth Proportional to 11,762.14, 17,637.62 and 6,833.20

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Solution

The fourth proportional to 11,762.14, 17,637.62 and 6,833.20 is: 10,246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.14 : 17,637.62 = 6,833.20 : x
  2. Step 2: Convert to fraction form
    11,762.14/17,637.62 = 6,833.20/x
  3. Step 3: Cross multiply
    11,762.14x = 17,637.62 × 6,833.20
  4. Step 4: Simplify right side
    11,762.14x = 120,521,384.98
  5. Step 5: Solve for x
    x = 120,521,384.98/11,762.14
  6. Step 6: Final answer
    x = 10,246.55

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