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Finding the Fourth Proportional to 7,810.84, 11,716.23 and 2,264.18

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Solution

The fourth proportional to 7,810.84, 11,716.23 and 2,264.18 is: 3,396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.84 : 11,716.23 = 2,264.18 : x
  2. Step 2: Convert to fraction form
    7,810.84/11,716.23 = 2,264.18/x
  3. Step 3: Cross multiply
    7,810.84x = 11,716.23 × 2,264.18
  4. Step 4: Simplify right side
    7,810.84x = 26,527,653.64
  5. Step 5: Solve for x
    x = 26,527,653.64/7,810.84
  6. Step 6: Final answer
    x = 3,396.26

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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.