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Finding the Fourth Proportional to 10,077.94, 15,111.06 and 4,153.06

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Solution

The fourth proportional to 10,077.94, 15,111.06 and 4,153.06 is: 6,227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.94 : 15,111.06 = 4,153.06 : x
  2. Step 2: Convert to fraction form
    10,077.94/15,111.06 = 4,153.06/x
  3. Step 3: Cross multiply
    10,077.94x = 15,111.06 × 4,153.06
  4. Step 4: Simplify right side
    10,077.94x = 62,757,138.84
  5. Step 5: Solve for x
    x = 62,757,138.84/10,077.94
  6. Step 6: Final answer
    x = 6,227.18

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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.