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Finding the Fourth Proportional to 10,808.50, 14,915.73 and 5,840.50

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Solution

The fourth proportional to 10,808.50, 14,915.73 and 5,840.50 is: 8,059.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.50 : 14,915.73 = 5,840.50 : x
  2. Step 2: Convert to fraction form
    10,808.50/14,915.73 = 5,840.50/x
  3. Step 3: Cross multiply
    10,808.50x = 14,915.73 × 5,840.50
  4. Step 4: Simplify right side
    10,808.50x = 87,115,321.07
  5. Step 5: Solve for x
    x = 87,115,321.07/10,808.50
  6. Step 6: Final answer
    x = 8,059.89

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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.