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Finding the Fourth Proportional to 7,703.64, 11,556.27 and 2,509.92

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Solution

The fourth proportional to 7,703.64, 11,556.27 and 2,509.92 is: 3,765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.64 : 11,556.27 = 2,509.92 : x
  2. Step 2: Convert to fraction form
    7,703.64/11,556.27 = 2,509.92/x
  3. Step 3: Cross multiply
    7,703.64x = 11,556.27 × 2,509.92
  4. Step 4: Simplify right side
    7,703.64x = 29,005,313.20
  5. Step 5: Solve for x
    x = 29,005,313.20/7,703.64
  6. Step 6: Final answer
    x = 3,765.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.