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Finding the Fourth Proportional to 7,586.57, 10,470.49 and 4,601.92

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Solution

The fourth proportional to 7,586.57, 10,470.49 and 4,601.92 is: 6,351.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.57 : 10,470.49 = 4,601.92 : x
  2. Step 2: Convert to fraction form
    7,586.57/10,470.49 = 4,601.92/x
  3. Step 3: Cross multiply
    7,586.57x = 10,470.49 × 4,601.92
  4. Step 4: Simplify right side
    7,586.57x = 48,184,357.34
  5. Step 5: Solve for x
    x = 48,184,357.34/7,586.57
  6. Step 6: Final answer
    x = 6,351.27

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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.