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Finding the Fourth Proportional to 7,816.53, 11,725.95 and 2,269.16

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Solution

The fourth proportional to 7,816.53, 11,725.95 and 2,269.16 is: 3,404.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.53 : 11,725.95 = 2,269.16 : x
  2. Step 2: Convert to fraction form
    7,816.53/11,725.95 = 2,269.16/x
  3. Step 3: Cross multiply
    7,816.53x = 11,725.95 × 2,269.16
  4. Step 4: Simplify right side
    7,816.53x = 26,607,998.07
  5. Step 5: Solve for x
    x = 26,607,998.07/7,816.53
  6. Step 6: Final answer
    x = 3,404.07

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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.