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Finding the Fourth Proportional to 10,640.01, 14,683.94 and 7,048.77

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Solution

The fourth proportional to 10,640.01, 14,683.94 and 7,048.77 is: 9,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.01 : 14,683.94 = 7,048.77 : x
  2. Step 2: Convert to fraction form
    10,640.01/14,683.94 = 7,048.77/x
  3. Step 3: Cross multiply
    10,640.01x = 14,683.94 × 7,048.77
  4. Step 4: Simplify right side
    10,640.01x = 103,503,715.75
  5. Step 5: Solve for x
    x = 103,503,715.75/10,640.01
  6. Step 6: Final answer
    x = 9,727.78

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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.