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Finding the Fourth Proportional to 10,796.50, 14,905.65 and 7,076.98

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Solution

The fourth proportional to 10,796.50, 14,905.65 and 7,076.98 is: 9,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.50 : 14,905.65 = 7,076.98 : x
  2. Step 2: Convert to fraction form
    10,796.50/14,905.65 = 7,076.98/x
  3. Step 3: Cross multiply
    10,796.50x = 14,905.65 × 7,076.98
  4. Step 4: Simplify right side
    10,796.50x = 105,486,986.94
  5. Step 5: Solve for x
    x = 105,486,986.94/10,796.50
  6. Step 6: Final answer
    x = 9,770.48

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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.