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Finding the Fourth Proportional to 12,511.71, 17,264.25 and 8,036.06

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Solution

The fourth proportional to 12,511.71, 17,264.25 and 8,036.06 is: 11,088.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,511.71 : 17,264.25 = 8,036.06 : x
  2. Step 2: Convert to fraction form
    12,511.71/17,264.25 = 8,036.06/x
  3. Step 3: Cross multiply
    12,511.71x = 17,264.25 × 8,036.06
  4. Step 4: Simplify right side
    12,511.71x = 138,736,462.53
  5. Step 5: Solve for x
    x = 138,736,462.53/12,511.71
  6. Step 6: Final answer
    x = 11,088.53

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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.