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Finding the Fourth Proportional to 8,602.61, 12,817.44 and 8,036.82

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Solution

The fourth proportional to 8,602.61, 12,817.44 and 8,036.82 is: 11,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.61 : 12,817.44 = 8,036.82 : x
  2. Step 2: Convert to fraction form
    8,602.61/12,817.44 = 8,036.82/x
  3. Step 3: Cross multiply
    8,602.61x = 12,817.44 × 8,036.82
  4. Step 4: Simplify right side
    8,602.61x = 103,011,458.14
  5. Step 5: Solve for x
    x = 103,011,458.14/8,602.61
  6. Step 6: Final answer
    x = 11,974.45

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