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Finding the Fourth Proportional to 8,583.04, 12,805.43 and 7,647.40

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Solution

The fourth proportional to 8,583.04, 12,805.43 and 7,647.40 is: 11,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.04 : 12,805.43 = 7,647.40 : x
  2. Step 2: Convert to fraction form
    8,583.04/12,805.43 = 7,647.40/x
  3. Step 3: Cross multiply
    8,583.04x = 12,805.43 × 7,647.40
  4. Step 4: Simplify right side
    8,583.04x = 97,928,245.38
  5. Step 5: Solve for x
    x = 97,928,245.38/8,583.04
  6. Step 6: Final answer
    x = 11,409.51

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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.