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Finding the Fourth Proportional to 7,563.95, 10,438.29 and 4,206.77

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Solution

The fourth proportional to 7,563.95, 10,438.29 and 4,206.77 is: 5,805.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.95 : 10,438.29 = 4,206.77 : x
  2. Step 2: Convert to fraction form
    7,563.95/10,438.29 = 4,206.77/x
  3. Step 3: Cross multiply
    7,563.95x = 10,438.29 × 4,206.77
  4. Step 4: Simplify right side
    7,563.95x = 43,911,433.03
  5. Step 5: Solve for x
    x = 43,911,433.03/7,563.95
  6. Step 6: Final answer
    x = 5,805.36

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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.