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Finding the Fourth Proportional to 7,075.27, 10,616.89 and 6,517.59

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Solution

The fourth proportional to 7,075.27, 10,616.89 and 6,517.59 is: 9,780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.27 : 10,616.89 = 6,517.59 : x
  2. Step 2: Convert to fraction form
    7,075.27/10,616.89 = 6,517.59/x
  3. Step 3: Cross multiply
    7,075.27x = 10,616.89 × 6,517.59
  4. Step 4: Simplify right side
    7,075.27x = 69,196,483.01
  5. Step 5: Solve for x
    x = 69,196,483.01/7,075.27
  6. Step 6: Final answer
    x = 9,780.05

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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.