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Finding the Fourth Proportional to 8,462.81, 11,678.64 and 4,926

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Solution

The fourth proportional to 8,462.81, 11,678.64 and 4,926 is: 6,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.81 : 11,678.64 = 4,926 : x
  2. Step 2: Convert to fraction form
    8,462.81/11,678.64 = 4,926/x
  3. Step 3: Cross multiply
    8,462.81x = 11,678.64 × 4,926
  4. Step 4: Simplify right side
    8,462.81x = 57,528,980.64
  5. Step 5: Solve for x
    x = 57,528,980.64/8,462.81
  6. Step 6: Final answer
    x = 6,797.86

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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.