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Finding the Fourth Proportional to 10,754.93, 14,862.33 and 8,097.72

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Solution

The fourth proportional to 10,754.93, 14,862.33 and 8,097.72 is: 11,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.93 : 14,862.33 = 8,097.72 : x
  2. Step 2: Convert to fraction form
    10,754.93/14,862.33 = 8,097.72/x
  3. Step 3: Cross multiply
    10,754.93x = 14,862.33 × 8,097.72
  4. Step 4: Simplify right side
    10,754.93x = 120,350,986.89
  5. Step 5: Solve for x
    x = 120,350,986.89/10,754.93
  6. Step 6: Final answer
    x = 11,190.31

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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.