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Finding the Fourth Proportional to 10,732.72, 14,811.80 and 8,075.40

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Solution

The fourth proportional to 10,732.72, 14,811.80 and 8,075.40 is: 11,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.72 : 14,811.80 = 8,075.40 : x
  2. Step 2: Convert to fraction form
    10,732.72/14,811.80 = 8,075.40/x
  3. Step 3: Cross multiply
    10,732.72x = 14,811.80 × 8,075.40
  4. Step 4: Simplify right side
    10,732.72x = 119,611,209.72
  5. Step 5: Solve for x
    x = 119,611,209.72/10,732.72
  6. Step 6: Final answer
    x = 11,144.54

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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.