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Finding the Fourth Proportional to 7,884.18, 11,837.07 and 4,953.78

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Solution

The fourth proportional to 7,884.18, 11,837.07 and 4,953.78 is: 7,437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.18 : 11,837.07 = 4,953.78 : x
  2. Step 2: Convert to fraction form
    7,884.18/11,837.07 = 4,953.78/x
  3. Step 3: Cross multiply
    7,884.18x = 11,837.07 × 4,953.78
  4. Step 4: Simplify right side
    7,884.18x = 58,638,240.62
  5. Step 5: Solve for x
    x = 58,638,240.62/7,884.18
  6. Step 6: Final answer
    x = 7,437.46

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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.