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Finding the Fourth Proportional to 8,538.25, 11,784.95 and 4,814.41

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Solution

The fourth proportional to 8,538.25, 11,784.95 and 4,814.41 is: 6,645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.25 : 11,784.95 = 4,814.41 : x
  2. Step 2: Convert to fraction form
    8,538.25/11,784.95 = 4,814.41/x
  3. Step 3: Cross multiply
    8,538.25x = 11,784.95 × 4,814.41
  4. Step 4: Simplify right side
    8,538.25x = 56,737,557.06
  5. Step 5: Solve for x
    x = 56,737,557.06/8,538.25
  6. Step 6: Final answer
    x = 6,645.10

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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.