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Finding the Fourth Proportional to 11,624.64, 17,425.08 and 6,075.08

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Solution

The fourth proportional to 11,624.64, 17,425.08 and 6,075.08 is: 9,106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.64 : 17,425.08 = 6,075.08 : x
  2. Step 2: Convert to fraction form
    11,624.64/17,425.08 = 6,075.08/x
  3. Step 3: Cross multiply
    11,624.64x = 17,425.08 × 6,075.08
  4. Step 4: Simplify right side
    11,624.64x = 105,858,755.01
  5. Step 5: Solve for x
    x = 105,858,755.01/11,624.64
  6. Step 6: Final answer
    x = 9,106.41

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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.