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Finding the Fourth Proportional to 7,679.63, 10,597.93 and 4,322.50

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Solution

The fourth proportional to 7,679.63, 10,597.93 and 4,322.50 is: 5,965.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.63 : 10,597.93 = 4,322.50 : x
  2. Step 2: Convert to fraction form
    7,679.63/10,597.93 = 4,322.50/x
  3. Step 3: Cross multiply
    7,679.63x = 10,597.93 × 4,322.50
  4. Step 4: Simplify right side
    7,679.63x = 45,809,552.43
  5. Step 5: Solve for x
    x = 45,809,552.43/7,679.63
  6. Step 6: Final answer
    x = 5,965.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.