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Finding the Fourth Proportional to 7,751.59, 10,697.28 and 4,214.72

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Solution

The fourth proportional to 7,751.59, 10,697.28 and 4,214.72 is: 5,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.59 : 10,697.28 = 4,214.72 : x
  2. Step 2: Convert to fraction form
    7,751.59/10,697.28 = 4,214.72/x
  3. Step 3: Cross multiply
    7,751.59x = 10,697.28 × 4,214.72
  4. Step 4: Simplify right side
    7,751.59x = 45,086,039.96
  5. Step 5: Solve for x
    x = 45,086,039.96/7,751.59
  6. Step 6: Final answer
    x = 5,816.36

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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.