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Finding the Fourth Proportional to 7,561.96, 10,433.88 and 4,577.20

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Solution

The fourth proportional to 7,561.96, 10,433.88 and 4,577.20 is: 6,315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.96 : 10,433.88 = 4,577.20 : x
  2. Step 2: Convert to fraction form
    7,561.96/10,433.88 = 4,577.20/x
  3. Step 3: Cross multiply
    7,561.96x = 10,433.88 × 4,577.20
  4. Step 4: Simplify right side
    7,561.96x = 47,757,955.54
  5. Step 5: Solve for x
    x = 47,757,955.54/7,561.96
  6. Step 6: Final answer
    x = 6,315.55

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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.