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Finding the Fourth Proportional to 11,280.84, 16,908.18 and 6,075.78

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Solution

The fourth proportional to 11,280.84, 16,908.18 and 6,075.78 is: 9,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280.84 : 16,908.18 = 6,075.78 : x
  2. Step 2: Convert to fraction form
    11,280.84/16,908.18 = 6,075.78/x
  3. Step 3: Cross multiply
    11,280.84x = 16,908.18 × 6,075.78
  4. Step 4: Simplify right side
    11,280.84x = 102,730,381.88
  5. Step 5: Solve for x
    x = 102,730,381.88/11,280.84
  6. Step 6: Final answer
    x = 9,106.63

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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.