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Finding the Fourth Proportional to 7,020.76, 10,533.09 and 3,071.31

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Solution

The fourth proportional to 7,020.76, 10,533.09 and 3,071.31 is: 4,607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020.76 : 10,533.09 = 3,071.31 : x
  2. Step 2: Convert to fraction form
    7,020.76/10,533.09 = 3,071.31/x
  3. Step 3: Cross multiply
    7,020.76x = 10,533.09 × 3,071.31
  4. Step 4: Simplify right side
    7,020.76x = 32,350,384.65
  5. Step 5: Solve for x
    x = 32,350,384.65/7,020.76
  6. Step 6: Final answer
    x = 4,607.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.