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Finding the Fourth Proportional to 7,762.05, 11,643.06 and 2,567.93

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Solution

The fourth proportional to 7,762.05, 11,643.06 and 2,567.93 is: 3,851.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.05 : 11,643.06 = 2,567.93 : x
  2. Step 2: Convert to fraction form
    7,762.05/11,643.06 = 2,567.93/x
  3. Step 3: Cross multiply
    7,762.05x = 11,643.06 × 2,567.93
  4. Step 4: Simplify right side
    7,762.05x = 29,898,504.85
  5. Step 5: Solve for x
    x = 29,898,504.85/7,762.05
  6. Step 6: Final answer
    x = 3,851.88

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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.