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Finding the Fourth Proportional to 7,586.31, 11,420.41 and 6,823.38

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Solution

The fourth proportional to 7,586.31, 11,420.41 and 6,823.38 is: 10,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.31 : 11,420.41 = 6,823.38 : x
  2. Step 2: Convert to fraction form
    7,586.31/11,420.41 = 6,823.38/x
  3. Step 3: Cross multiply
    7,586.31x = 11,420.41 × 6,823.38
  4. Step 4: Simplify right side
    7,586.31x = 77,925,797.19
  5. Step 5: Solve for x
    x = 77,925,797.19/7,586.31
  6. Step 6: Final answer
    x = 10,271.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.