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Finding the Fourth Proportional to 10,083.26, 15,056.93 and 8,238.02

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Solution

The fourth proportional to 10,083.26, 15,056.93 and 8,238.02 is: 12,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.26 : 15,056.93 = 8,238.02 : x
  2. Step 2: Convert to fraction form
    10,083.26/15,056.93 = 8,238.02/x
  3. Step 3: Cross multiply
    10,083.26x = 15,056.93 × 8,238.02
  4. Step 4: Simplify right side
    10,083.26x = 124,039,174.00
  5. Step 5: Solve for x
    x = 124,039,174.00/10,083.26
  6. Step 6: Final answer
    x = 12,301.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.