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Finding the Fourth Proportional to 28,205.39, 42,307.75 and 6,858.23

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Solution

The fourth proportional to 28,205.39, 42,307.75 and 6,858.23 is: 10,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,205.39 : 42,307.75 = 6,858.23 : x
  2. Step 2: Convert to fraction form
    28,205.39/42,307.75 = 6,858.23/x
  3. Step 3: Cross multiply
    28,205.39x = 42,307.75 × 6,858.23
  4. Step 4: Simplify right side
    28,205.39x = 290,156,051.60
  5. Step 5: Solve for x
    x = 290,156,051.60/28,205.39
  6. Step 6: Final answer
    x = 10,287.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.