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Finding the Fourth Proportional to 7,389.60, 11,075.16 and 3,692.86

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Solution

The fourth proportional to 7,389.60, 11,075.16 and 3,692.86 is: 5,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389.60 : 11,075.16 = 3,692.86 : x
  2. Step 2: Convert to fraction form
    7,389.60/11,075.16 = 3,692.86/x
  3. Step 3: Cross multiply
    7,389.60x = 11,075.16 × 3,692.86
  4. Step 4: Simplify right side
    7,389.60x = 40,899,015.36
  5. Step 5: Solve for x
    x = 40,899,015.36/7,389.60
  6. Step 6: Final answer
    x = 5,534.67

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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.