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Finding the Fourth Proportional to 7,497.81, 11,245.57 and 2,566.32

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Solution

The fourth proportional to 7,497.81, 11,245.57 and 2,566.32 is: 3,849.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.81 : 11,245.57 = 2,566.32 : x
  2. Step 2: Convert to fraction form
    7,497.81/11,245.57 = 2,566.32/x
  3. Step 3: Cross multiply
    7,497.81x = 11,245.57 × 2,566.32
  4. Step 4: Simplify right side
    7,497.81x = 28,859,682.62
  5. Step 5: Solve for x
    x = 28,859,682.62/7,497.81
  6. Step 6: Final answer
    x = 3,849.08

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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.