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Finding the Fourth Proportional to 7,205.95, 10,805.68 and 2,988.69

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Solution

The fourth proportional to 7,205.95, 10,805.68 and 2,988.69 is: 4,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.95 : 10,805.68 = 2,988.69 : x
  2. Step 2: Convert to fraction form
    7,205.95/10,805.68 = 2,988.69/x
  3. Step 3: Cross multiply
    7,205.95x = 10,805.68 × 2,988.69
  4. Step 4: Simplify right side
    7,205.95x = 32,294,827.76
  5. Step 5: Solve for x
    x = 32,294,827.76/7,205.95
  6. Step 6: Final answer
    x = 4,481.69

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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.