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Finding the Fourth Proportional to 8,321.68, 11,484.21 and 4,784.26

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Solution

The fourth proportional to 8,321.68, 11,484.21 and 4,784.26 is: 6,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.68 : 11,484.21 = 4,784.26 : x
  2. Step 2: Convert to fraction form
    8,321.68/11,484.21 = 4,784.26/x
  3. Step 3: Cross multiply
    8,321.68x = 11,484.21 × 4,784.26
  4. Step 4: Simplify right side
    8,321.68x = 54,943,446.53
  5. Step 5: Solve for x
    x = 54,943,446.53/8,321.68
  6. Step 6: Final answer
    x = 6,602.45

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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.