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Finding the Fourth Proportional to 10,469.07, 15,683.04 and 6,077.34

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Solution

The fourth proportional to 10,469.07, 15,683.04 and 6,077.34 is: 9,104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.07 : 15,683.04 = 6,077.34 : x
  2. Step 2: Convert to fraction form
    10,469.07/15,683.04 = 6,077.34/x
  3. Step 3: Cross multiply
    10,469.07x = 15,683.04 × 6,077.34
  4. Step 4: Simplify right side
    10,469.07x = 95,311,166.31
  5. Step 5: Solve for x
    x = 95,311,166.31/10,469.07
  6. Step 6: Final answer
    x = 9,104.07

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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.