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Finding the Fourth Proportional to 7,586.56, 10,474.67 and 4,755.07

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Solution

The fourth proportional to 7,586.56, 10,474.67 and 4,755.07 is: 6,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.56 : 10,474.67 = 4,755.07 : x
  2. Step 2: Convert to fraction form
    7,586.56/10,474.67 = 4,755.07/x
  3. Step 3: Cross multiply
    7,586.56x = 10,474.67 × 4,755.07
  4. Step 4: Simplify right side
    7,586.56x = 49,807,712.93
  5. Step 5: Solve for x
    x = 49,807,712.93/7,586.56
  6. Step 6: Final answer
    x = 6,565.26

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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.