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Finding the Fourth Proportional to 8,583.29, 12,805.81 and 7,647.65

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Solution

The fourth proportional to 8,583.29, 12,805.81 and 7,647.65 is: 11,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.29 : 12,805.81 = 7,647.65 : x
  2. Step 2: Convert to fraction form
    8,583.29/12,805.81 = 7,647.65/x
  3. Step 3: Cross multiply
    8,583.29x = 12,805.81 × 7,647.65
  4. Step 4: Simplify right side
    8,583.29x = 97,934,314.61
  5. Step 5: Solve for x
    x = 97,934,314.61/8,583.29
  6. Step 6: Final answer
    x = 11,409.88

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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.