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Finding the Fourth Proportional to 10,469.08, 15,709 and 5,788.22

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Solution

The fourth proportional to 10,469.08, 15,709 and 5,788.22 is: 8,685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.08 : 15,709 = 5,788.22 : x
  2. Step 2: Convert to fraction form
    10,469.08/15,709 = 5,788.22/x
  3. Step 3: Cross multiply
    10,469.08x = 15,709 × 5,788.22
  4. Step 4: Simplify right side
    10,469.08x = 90,927,147.98
  5. Step 5: Solve for x
    x = 90,927,147.98/10,469.08
  6. Step 6: Final answer
    x = 8,685.30

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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.