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Finding the Fourth Proportional to 10,864.33, 14,993.00 and 6,615.57

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Solution

The fourth proportional to 10,864.33, 14,993.00 and 6,615.57 is: 9,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.33 : 14,993.00 = 6,615.57 : x
  2. Step 2: Convert to fraction form
    10,864.33/14,993.00 = 6,615.57/x
  3. Step 3: Cross multiply
    10,864.33x = 14,993.00 × 6,615.57
  4. Step 4: Simplify right side
    10,864.33x = 99,187,257.55
  5. Step 5: Solve for x
    x = 99,187,257.55/10,864.33
  6. Step 6: Final answer
    x = 9,129.63

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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.