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Finding the Fourth Proportional to 7,684.25, 11,523.80 and 3,003.05

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Solution

The fourth proportional to 7,684.25, 11,523.80 and 3,003.05 is: 4,503.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.25 : 11,523.80 = 3,003.05 : x
  2. Step 2: Convert to fraction form
    7,684.25/11,523.80 = 3,003.05/x
  3. Step 3: Cross multiply
    7,684.25x = 11,523.80 × 3,003.05
  4. Step 4: Simplify right side
    7,684.25x = 34,606,547.59
  5. Step 5: Solve for x
    x = 34,606,547.59/7,684.25
  6. Step 6: Final answer
    x = 4,503.57

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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.