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Finding the Fourth Proportional to 7,382.88, 11,075.76 and 4,095

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Solution

The fourth proportional to 7,382.88, 11,075.76 and 4,095 is: 6,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.88 : 11,075.76 = 4,095 : x
  2. Step 2: Convert to fraction form
    7,382.88/11,075.76 = 4,095/x
  3. Step 3: Cross multiply
    7,382.88x = 11,075.76 × 4,095
  4. Step 4: Simplify right side
    7,382.88x = 45,355,237.20
  5. Step 5: Solve for x
    x = 45,355,237.20/7,382.88
  6. Step 6: Final answer
    x = 6,143.30

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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.