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Finding the Fourth Proportional to 10,076.98, 13,907.36 and 6,098.01

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Solution

The fourth proportional to 10,076.98, 13,907.36 and 6,098.01 is: 8,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.98 : 13,907.36 = 6,098.01 : x
  2. Step 2: Convert to fraction form
    10,076.98/13,907.36 = 6,098.01/x
  3. Step 3: Cross multiply
    10,076.98x = 13,907.36 × 6,098.01
  4. Step 4: Simplify right side
    10,076.98x = 84,807,120.33
  5. Step 5: Solve for x
    x = 84,807,120.33/10,076.98
  6. Step 6: Final answer
    x = 8,415.93

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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.