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Finding the Fourth Proportional to 10,563.81, 14,576.52 and 6,787.29

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Solution

The fourth proportional to 10,563.81, 14,576.52 and 6,787.29 is: 9,365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.81 : 14,576.52 = 6,787.29 : x
  2. Step 2: Convert to fraction form
    10,563.81/14,576.52 = 6,787.29/x
  3. Step 3: Cross multiply
    10,563.81x = 14,576.52 × 6,787.29
  4. Step 4: Simplify right side
    10,563.81x = 98,935,068.43
  5. Step 5: Solve for x
    x = 98,935,068.43/10,563.81
  6. Step 6: Final answer
    x = 9,365.47

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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.