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Finding the Fourth Proportional to 10,356.50, 14,292 and 5,640.79

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Solution

The fourth proportional to 10,356.50, 14,292 and 5,640.79 is: 7,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.50 : 14,292 = 5,640.79 : x
  2. Step 2: Convert to fraction form
    10,356.50/14,292 = 5,640.79/x
  3. Step 3: Cross multiply
    10,356.50x = 14,292 × 5,640.79
  4. Step 4: Simplify right side
    10,356.50x = 80,618,099.22
  5. Step 5: Solve for x
    x = 80,618,099.22/10,356.50
  6. Step 6: Final answer
    x = 7,784.30

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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.