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Finding the Fourth Proportional to 10,571.62, 15,855.77 and 4,647.19

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Solution

The fourth proportional to 10,571.62, 15,855.77 and 4,647.19 is: 6,970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.62 : 15,855.77 = 4,647.19 : x
  2. Step 2: Convert to fraction form
    10,571.62/15,855.77 = 4,647.19/x
  3. Step 3: Cross multiply
    10,571.62x = 15,855.77 × 4,647.19
  4. Step 4: Simplify right side
    10,571.62x = 73,684,794.15
  5. Step 5: Solve for x
    x = 73,684,794.15/10,571.62
  6. Step 6: Final answer
    x = 6,970.06

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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.