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Finding the Fourth Proportional to 10,770.18, 14,858.28 and 6,576

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Solution

The fourth proportional to 10,770.18, 14,858.28 and 6,576 is: 9,072.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.18 : 14,858.28 = 6,576 : x
  2. Step 2: Convert to fraction form
    10,770.18/14,858.28 = 6,576/x
  3. Step 3: Cross multiply
    10,770.18x = 14,858.28 × 6,576
  4. Step 4: Simplify right side
    10,770.18x = 97,708,049.28
  5. Step 5: Solve for x
    x = 97,708,049.28/10,770.18
  6. Step 6: Final answer
    x = 9,072.09

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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.