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Finding the Fourth Proportional to 7,563.26, 10,438.23 and 4,580.13

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Solution

The fourth proportional to 7,563.26, 10,438.23 and 4,580.13 is: 6,321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.26 : 10,438.23 = 4,580.13 : x
  2. Step 2: Convert to fraction form
    7,563.26/10,438.23 = 4,580.13/x
  3. Step 3: Cross multiply
    7,563.26x = 10,438.23 × 4,580.13
  4. Step 4: Simplify right side
    7,563.26x = 47,808,450.37
  5. Step 5: Solve for x
    x = 47,808,450.37/7,563.26
  6. Step 6: Final answer
    x = 6,321.14

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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.