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Finding the Fourth Proportional to 7,561.71, 10,433.67 and 4,577.82

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Solution

The fourth proportional to 7,561.71, 10,433.67 and 4,577.82 is: 6,316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.71 : 10,433.67 = 4,577.82 : x
  2. Step 2: Convert to fraction form
    7,561.71/10,433.67 = 4,577.82/x
  3. Step 3: Cross multiply
    7,561.71x = 10,433.67 × 4,577.82
  4. Step 4: Simplify right side
    7,561.71x = 47,763,507.82
  5. Step 5: Solve for x
    x = 47,763,507.82/7,561.71
  6. Step 6: Final answer
    x = 6,316.49

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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.