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Finding the Fourth Proportional to 11,287.16, 15,576.84 and 6,810.84

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Solution

The fourth proportional to 11,287.16, 15,576.84 and 6,810.84 is: 9,399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.16 : 15,576.84 = 6,810.84 : x
  2. Step 2: Convert to fraction form
    11,287.16/15,576.84 = 6,810.84/x
  3. Step 3: Cross multiply
    11,287.16x = 15,576.84 × 6,810.84
  4. Step 4: Simplify right side
    11,287.16x = 106,091,371.77
  5. Step 5: Solve for x
    x = 106,091,371.77/11,287.16
  6. Step 6: Final answer
    x = 9,399.29

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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.