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Finding the Fourth Proportional to 7,730.94, 11,596.48 and 2,184.16

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Solution

The fourth proportional to 7,730.94, 11,596.48 and 2,184.16 is: 3,276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.94 : 11,596.48 = 2,184.16 : x
  2. Step 2: Convert to fraction form
    7,730.94/11,596.48 = 2,184.16/x
  3. Step 3: Cross multiply
    7,730.94x = 11,596.48 × 2,184.16
  4. Step 4: Simplify right side
    7,730.94x = 25,328,556.84
  5. Step 5: Solve for x
    x = 25,328,556.84/7,730.94
  6. Step 6: Final answer
    x = 3,276.26

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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.