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Finding the Fourth Proportional to 11,142.99, 15,379.61 and 6,426.63

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Solution

The fourth proportional to 11,142.99, 15,379.61 and 6,426.63 is: 8,870.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.99 : 15,379.61 = 6,426.63 : x
  2. Step 2: Convert to fraction form
    11,142.99/15,379.61 = 6,426.63/x
  3. Step 3: Cross multiply
    11,142.99x = 15,379.61 × 6,426.63
  4. Step 4: Simplify right side
    11,142.99x = 98,839,030.88
  5. Step 5: Solve for x
    x = 98,839,030.88/11,142.99
  6. Step 6: Final answer
    x = 8,870.06

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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.