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Finding the Fourth Proportional to 7,837.07, 10,820.22 and 4,856.06

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Solution

The fourth proportional to 7,837.07, 10,820.22 and 4,856.06 is: 6,704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.07 : 10,820.22 = 4,856.06 : x
  2. Step 2: Convert to fraction form
    7,837.07/10,820.22 = 4,856.06/x
  3. Step 3: Cross multiply
    7,837.07x = 10,820.22 × 4,856.06
  4. Step 4: Simplify right side
    7,837.07x = 52,543,646.37
  5. Step 5: Solve for x
    x = 52,543,646.37/7,837.07
  6. Step 6: Final answer
    x = 6,704.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.