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Finding the Fourth Proportional to 11,436.46, 15,773.84 and 8,075.77

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Solution

The fourth proportional to 11,436.46, 15,773.84 and 8,075.77 is: 11,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436.46 : 15,773.84 = 8,075.77 : x
  2. Step 2: Convert to fraction form
    11,436.46/15,773.84 = 8,075.77/x
  3. Step 3: Cross multiply
    11,436.46x = 15,773.84 × 8,075.77
  4. Step 4: Simplify right side
    11,436.46x = 127,385,824.04
  5. Step 5: Solve for x
    x = 127,385,824.04/11,436.46
  6. Step 6: Final answer
    x = 11,138.57

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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.