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Finding the Fourth Proportional to 8,605.37, 12,886.19 and 7,883.66

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Solution

The fourth proportional to 8,605.37, 12,886.19 and 7,883.66 is: 11,805.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.37 : 12,886.19 = 7,883.66 : x
  2. Step 2: Convert to fraction form
    8,605.37/12,886.19 = 7,883.66/x
  3. Step 3: Cross multiply
    8,605.37x = 12,886.19 × 7,883.66
  4. Step 4: Simplify right side
    8,605.37x = 101,590,363.02
  5. Step 5: Solve for x
    x = 101,590,363.02/8,605.37
  6. Step 6: Final answer
    x = 11,805.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.