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Finding the Fourth Proportional to 8,460.81, 11,677.86 and 4,924.56

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Solution

The fourth proportional to 8,460.81, 11,677.86 and 4,924.56 is: 6,797.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.81 : 11,677.86 = 4,924.56 : x
  2. Step 2: Convert to fraction form
    8,460.81/11,677.86 = 4,924.56/x
  3. Step 3: Cross multiply
    8,460.81x = 11,677.86 × 4,924.56
  4. Step 4: Simplify right side
    8,460.81x = 57,508,322.24
  5. Step 5: Solve for x
    x = 57,508,322.24/8,460.81
  6. Step 6: Final answer
    x = 6,797.02

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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.