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Finding the Fourth Proportional to 10,640.85, 14,683.73 and 5,925.03

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Solution

The fourth proportional to 10,640.85, 14,683.73 and 5,925.03 is: 8,176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.85 : 14,683.73 = 5,925.03 : x
  2. Step 2: Convert to fraction form
    10,640.85/14,683.73 = 5,925.03/x
  3. Step 3: Cross multiply
    10,640.85x = 14,683.73 × 5,925.03
  4. Step 4: Simplify right side
    10,640.85x = 87,001,511.14
  5. Step 5: Solve for x
    x = 87,001,511.14/10,640.85
  6. Step 6: Final answer
    x = 8,176.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.