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Finding the Fourth Proportional to 10,853.14, 16,242.73 and 9,100.12

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Solution

The fourth proportional to 10,853.14, 16,242.73 and 9,100.12 is: 13,619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.14 : 16,242.73 = 9,100.12 : x
  2. Step 2: Convert to fraction form
    10,853.14/16,242.73 = 9,100.12/x
  3. Step 3: Cross multiply
    10,853.14x = 16,242.73 × 9,100.12
  4. Step 4: Simplify right side
    10,853.14x = 147,810,804.91
  5. Step 5: Solve for x
    x = 147,810,804.91/10,853.14
  6. Step 6: Final answer
    x = 13,619.18

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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.