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Finding the Fourth Proportional to 7,563.89, 10,437.37 and 4,206.16

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Solution

The fourth proportional to 7,563.89, 10,437.37 and 4,206.16 is: 5,804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.89 : 10,437.37 = 4,206.16 : x
  2. Step 2: Convert to fraction form
    7,563.89/10,437.37 = 4,206.16/x
  3. Step 3: Cross multiply
    7,563.89x = 10,437.37 × 4,206.16
  4. Step 4: Simplify right side
    7,563.89x = 43,901,174.98
  5. Step 5: Solve for x
    x = 43,901,174.98/7,563.89
  6. Step 6: Final answer
    x = 5,804.05

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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.