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Finding the Fourth Proportional to 7,751.28, 10,696.77 and 4,214.49

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Solution

The fourth proportional to 7,751.28, 10,696.77 and 4,214.49 is: 5,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.28 : 10,696.77 = 4,214.49 : x
  2. Step 2: Convert to fraction form
    7,751.28/10,696.77 = 4,214.49/x
  3. Step 3: Cross multiply
    7,751.28x = 10,696.77 × 4,214.49
  4. Step 4: Simplify right side
    7,751.28x = 45,081,430.20
  5. Step 5: Solve for x
    x = 45,081,430.20/7,751.28
  6. Step 6: Final answer
    x = 5,816.00

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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.