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Finding the Fourth Proportional to 10,003.88, 13,798.40 and 8,115.50

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Solution

The fourth proportional to 10,003.88, 13,798.40 and 8,115.50 is: 11,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.88 : 13,798.40 = 8,115.50 : x
  2. Step 2: Convert to fraction form
    10,003.88/13,798.40 = 8,115.50/x
  3. Step 3: Cross multiply
    10,003.88x = 13,798.40 × 8,115.50
  4. Step 4: Simplify right side
    10,003.88x = 111,980,915.20
  5. Step 5: Solve for x
    x = 111,980,915.20/10,003.88
  6. Step 6: Final answer
    x = 11,193.75

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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.