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Finding the Fourth Proportional to 6,733.50, 10,075.55 and 5,620.16

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Solution

The fourth proportional to 6,733.50, 10,075.55 and 5,620.16 is: 8,409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.50 : 10,075.55 = 5,620.16 : x
  2. Step 2: Convert to fraction form
    6,733.50/10,075.55 = 5,620.16/x
  3. Step 3: Cross multiply
    6,733.50x = 10,075.55 × 5,620.16
  4. Step 4: Simplify right side
    6,733.50x = 56,626,203.09
  5. Step 5: Solve for x
    x = 56,626,203.09/6,733.50
  6. Step 6: Final answer
    x = 8,409.62

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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.