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Finding the Fourth Proportional to 7,075.83, 10,610.69 and 3,563.67

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Solution

The fourth proportional to 7,075.83, 10,610.69 and 3,563.67 is: 5,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.83 : 10,610.69 = 3,563.67 : x
  2. Step 2: Convert to fraction form
    7,075.83/10,610.69 = 3,563.67/x
  3. Step 3: Cross multiply
    7,075.83x = 10,610.69 × 3,563.67
  4. Step 4: Simplify right side
    7,075.83x = 37,812,979.81
  5. Step 5: Solve for x
    x = 37,812,979.81/7,075.83
  6. Step 6: Final answer
    x = 5,343.96

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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.