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Finding the Fourth Proportional to 10,202.94, 15,309.09 and 6,051.18

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Solution

The fourth proportional to 10,202.94, 15,309.09 and 6,051.18 is: 9,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.94 : 15,309.09 = 6,051.18 : x
  2. Step 2: Convert to fraction form
    10,202.94/15,309.09 = 6,051.18/x
  3. Step 3: Cross multiply
    10,202.94x = 15,309.09 × 6,051.18
  4. Step 4: Simplify right side
    10,202.94x = 92,638,059.23
  5. Step 5: Solve for x
    x = 92,638,059.23/10,202.94
  6. Step 6: Final answer
    x = 9,079.55

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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.