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Finding the Fourth Proportional to 7,760.21, 10,709.77 and 4,404.07

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Solution

The fourth proportional to 7,760.21, 10,709.77 and 4,404.07 is: 6,078.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.21 : 10,709.77 = 4,404.07 : x
  2. Step 2: Convert to fraction form
    7,760.21/10,709.77 = 4,404.07/x
  3. Step 3: Cross multiply
    7,760.21x = 10,709.77 × 4,404.07
  4. Step 4: Simplify right side
    7,760.21x = 47,166,587.40
  5. Step 5: Solve for x
    x = 47,166,587.40/7,760.21
  6. Step 6: Final answer
    x = 6,078.01

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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.