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Finding the Fourth Proportional to 7,809.35, 11,707.61 and 3,647.30

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Solution

The fourth proportional to 7,809.35, 11,707.61 and 3,647.30 is: 5,467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.35 : 11,707.61 = 3,647.30 : x
  2. Step 2: Convert to fraction form
    7,809.35/11,707.61 = 3,647.30/x
  3. Step 3: Cross multiply
    7,809.35x = 11,707.61 × 3,647.30
  4. Step 4: Simplify right side
    7,809.35x = 42,701,089.18
  5. Step 5: Solve for x
    x = 42,701,089.18/7,809.35
  6. Step 6: Final answer
    x = 5,467.95

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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.