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Finding the Fourth Proportional to 7,586.56, 10,462.28 and 4,930.96

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Solution

The fourth proportional to 7,586.56, 10,462.28 and 4,930.96 is: 6,800.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.56 : 10,462.28 = 4,930.96 : x
  2. Step 2: Convert to fraction form
    7,586.56/10,462.28 = 4,930.96/x
  3. Step 3: Cross multiply
    7,586.56x = 10,462.28 × 4,930.96
  4. Step 4: Simplify right side
    7,586.56x = 51,589,084.19
  5. Step 5: Solve for x
    x = 51,589,084.19/7,586.56
  6. Step 6: Final answer
    x = 6,800.06

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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.