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Finding the Fourth Proportional to 10,709.52, 16,075.80 and 8,996.88

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Solution

The fourth proportional to 10,709.52, 16,075.80 and 8,996.88 is: 13,505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.52 : 16,075.80 = 8,996.88 : x
  2. Step 2: Convert to fraction form
    10,709.52/16,075.80 = 8,996.88/x
  3. Step 3: Cross multiply
    10,709.52x = 16,075.80 × 8,996.88
  4. Step 4: Simplify right side
    10,709.52x = 144,632,043.50
  5. Step 5: Solve for x
    x = 144,632,043.50/10,709.52
  6. Step 6: Final answer
    x = 13,505.00

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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.