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Finding the Fourth Proportional to 8,029.64, 11,075.34 and 7,368.68

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Solution

The fourth proportional to 8,029.64, 11,075.34 and 7,368.68 is: 10,163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.64 : 11,075.34 = 7,368.68 : x
  2. Step 2: Convert to fraction form
    8,029.64/11,075.34 = 7,368.68/x
  3. Step 3: Cross multiply
    8,029.64x = 11,075.34 × 7,368.68
  4. Step 4: Simplify right side
    8,029.64x = 81,610,636.35
  5. Step 5: Solve for x
    x = 81,610,636.35/8,029.64
  6. Step 6: Final answer
    x = 10,163.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.