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Finding the Fourth Proportional to 7,206.84, 10,810.26 and 3,314.52

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Solution

The fourth proportional to 7,206.84, 10,810.26 and 3,314.52 is: 4,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.84 : 10,810.26 = 3,314.52 : x
  2. Step 2: Convert to fraction form
    7,206.84/10,810.26 = 3,314.52/x
  3. Step 3: Cross multiply
    7,206.84x = 10,810.26 × 3,314.52
  4. Step 4: Simplify right side
    7,206.84x = 35,830,822.98
  5. Step 5: Solve for x
    x = 35,830,822.98/7,206.84
  6. Step 6: Final answer
    x = 4,971.78

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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.