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Finding the Fourth Proportional to 12,710.10, 17,537.36 and 8,233.23

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Solution

The fourth proportional to 12,710.10, 17,537.36 and 8,233.23 is: 11,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.10 : 17,537.36 = 8,233.23 : x
  2. Step 2: Convert to fraction form
    12,710.10/17,537.36 = 8,233.23/x
  3. Step 3: Cross multiply
    12,710.10x = 17,537.36 × 8,233.23
  4. Step 4: Simplify right side
    12,710.10x = 144,389,077.31
  5. Step 5: Solve for x
    x = 144,389,077.31/12,710.10
  6. Step 6: Final answer
    x = 11,360.18

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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.