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Finding the Fourth Proportional to 10,356.22, 14,291.22 and 5,640.40

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Solution

The fourth proportional to 10,356.22, 14,291.22 and 5,640.40 is: 7,783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.22 : 14,291.22 = 5,640.40 : x
  2. Step 2: Convert to fraction form
    10,356.22/14,291.22 = 5,640.40/x
  3. Step 3: Cross multiply
    10,356.22x = 14,291.22 × 5,640.40
  4. Step 4: Simplify right side
    10,356.22x = 80,608,197.29
  5. Step 5: Solve for x
    x = 80,608,197.29/10,356.22
  6. Step 6: Final answer
    x = 7,783.55

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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.