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Finding the Fourth Proportional to 10,333.67, 14,261.25 and 5,858.21

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Solution

The fourth proportional to 10,333.67, 14,261.25 and 5,858.21 is: 8,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.67 : 14,261.25 = 5,858.21 : x
  2. Step 2: Convert to fraction form
    10,333.67/14,261.25 = 5,858.21/x
  3. Step 3: Cross multiply
    10,333.67x = 14,261.25 × 5,858.21
  4. Step 4: Simplify right side
    10,333.67x = 83,545,326.06
  5. Step 5: Solve for x
    x = 83,545,326.06/10,333.67
  6. Step 6: Final answer
    x = 8,084.77

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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.