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Finding the Fourth Proportional to 7,072.72, 9,772.88 and 5,089.84

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Solution

The fourth proportional to 7,072.72, 9,772.88 and 5,089.84 is: 7,032.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.72 : 9,772.88 = 5,089.84 : x
  2. Step 2: Convert to fraction form
    7,072.72/9,772.88 = 5,089.84/x
  3. Step 3: Cross multiply
    7,072.72x = 9,772.88 × 5,089.84
  4. Step 4: Simplify right side
    7,072.72x = 49,742,395.54
  5. Step 5: Solve for x
    x = 49,742,395.54/7,072.72
  6. Step 6: Final answer
    x = 7,032.99

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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.