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Finding the Fourth Proportional to 7,751.53, 10,697.77 and 4,768.10

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Solution

The fourth proportional to 7,751.53, 10,697.77 and 4,768.10 is: 6,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.53 : 10,697.77 = 4,768.10 : x
  2. Step 2: Convert to fraction form
    7,751.53/10,697.77 = 4,768.10/x
  3. Step 3: Cross multiply
    7,751.53x = 10,697.77 × 4,768.10
  4. Step 4: Simplify right side
    7,751.53x = 51,008,037.14
  5. Step 5: Solve for x
    x = 51,008,037.14/7,751.53
  6. Step 6: Final answer
    x = 6,580.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.