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Finding the Fourth Proportional to 7,797.06, 11,688.93 and 3,411.18

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Solution

The fourth proportional to 7,797.06, 11,688.93 and 3,411.18 is: 5,113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.06 : 11,688.93 = 3,411.18 : x
  2. Step 2: Convert to fraction form
    7,797.06/11,688.93 = 3,411.18/x
  3. Step 3: Cross multiply
    7,797.06x = 11,688.93 × 3,411.18
  4. Step 4: Simplify right side
    7,797.06x = 39,873,044.24
  5. Step 5: Solve for x
    x = 39,873,044.24/7,797.06
  6. Step 6: Final answer
    x = 5,113.86

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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.