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Finding the Fourth Proportional to 7,509.68, 11,261.72 and 2,577.92

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Solution

The fourth proportional to 7,509.68, 11,261.72 and 2,577.92 is: 3,865.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.68 : 11,261.72 = 2,577.92 : x
  2. Step 2: Convert to fraction form
    7,509.68/11,261.72 = 2,577.92/x
  3. Step 3: Cross multiply
    7,509.68x = 11,261.72 × 2,577.92
  4. Step 4: Simplify right side
    7,509.68x = 29,031,813.22
  5. Step 5: Solve for x
    x = 29,031,813.22/7,509.68
  6. Step 6: Final answer
    x = 3,865.92

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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.