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Finding the Fourth Proportional to 12,497.29, 17,260.43 and 8,511.48

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Solution

The fourth proportional to 12,497.29, 17,260.43 and 8,511.48 is: 11,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.29 : 17,260.43 = 8,511.48 : x
  2. Step 2: Convert to fraction form
    12,497.29/17,260.43 = 8,511.48/x
  3. Step 3: Cross multiply
    12,497.29x = 17,260.43 × 8,511.48
  4. Step 4: Simplify right side
    12,497.29x = 146,911,804.74
  5. Step 5: Solve for x
    x = 146,911,804.74/12,497.29
  6. Step 6: Final answer
    x = 11,755.49

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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.