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Finding the Fourth Proportional to 7,586.80, 10,468.51 and 4,228.88

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Solution

The fourth proportional to 7,586.80, 10,468.51 and 4,228.88 is: 5,835.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.80 : 10,468.51 = 4,228.88 : x
  2. Step 2: Convert to fraction form
    7,586.80/10,468.51 = 4,228.88/x
  3. Step 3: Cross multiply
    7,586.80x = 10,468.51 × 4,228.88
  4. Step 4: Simplify right side
    7,586.80x = 44,270,072.57
  5. Step 5: Solve for x
    x = 44,270,072.57/7,586.80
  6. Step 6: Final answer
    x = 5,835.14

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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.