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Finding the Fourth Proportional to 7,853.95, 11,784.91 and 5,223.28

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Solution

The fourth proportional to 7,853.95, 11,784.91 and 5,223.28 is: 7,837.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.95 : 11,784.91 = 5,223.28 : x
  2. Step 2: Convert to fraction form
    7,853.95/11,784.91 = 5,223.28/x
  3. Step 3: Cross multiply
    7,853.95x = 11,784.91 × 5,223.28
  4. Step 4: Simplify right side
    7,853.95x = 61,555,884.70
  5. Step 5: Solve for x
    x = 61,555,884.70/7,853.95
  6. Step 6: Final answer
    x = 7,837.57

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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.