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Finding the Fourth Proportional to 7,586.34, 11,372.50 and 4,804.59

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Solution

The fourth proportional to 7,586.34, 11,372.50 and 4,804.59 is: 7,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.34 : 11,372.50 = 4,804.59 : x
  2. Step 2: Convert to fraction form
    7,586.34/11,372.50 = 4,804.59/x
  3. Step 3: Cross multiply
    7,586.34x = 11,372.50 × 4,804.59
  4. Step 4: Simplify right side
    7,586.34x = 54,640,199.78
  5. Step 5: Solve for x
    x = 54,640,199.78/7,586.34
  6. Step 6: Final answer
    x = 7,202.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.