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Finding the Fourth Proportional to 7,563.96, 10,437.71 and 4,206.62

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Solution

The fourth proportional to 7,563.96, 10,437.71 and 4,206.62 is: 5,804.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.96 : 10,437.71 = 4,206.62 : x
  2. Step 2: Convert to fraction form
    7,563.96/10,437.71 = 4,206.62/x
  3. Step 3: Cross multiply
    7,563.96x = 10,437.71 × 4,206.62
  4. Step 4: Simplify right side
    7,563.96x = 43,907,406.42
  5. Step 5: Solve for x
    x = 43,907,406.42/7,563.96
  6. Step 6: Final answer
    x = 5,804.82

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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.