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Finding the Fourth Proportional to 10,554.25, 14,564.88 and 5,838.85

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Solution

The fourth proportional to 10,554.25, 14,564.88 and 5,838.85 is: 8,057.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,554.25 : 14,564.88 = 5,838.85 : x
  2. Step 2: Convert to fraction form
    10,554.25/14,564.88 = 5,838.85/x
  3. Step 3: Cross multiply
    10,554.25x = 14,564.88 × 5,838.85
  4. Step 4: Simplify right side
    10,554.25x = 85,042,149.59
  5. Step 5: Solve for x
    x = 85,042,149.59/10,554.25
  6. Step 6: Final answer
    x = 8,057.62

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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.