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Finding the Fourth Proportional to 7,674.04, 10,596.14 and 5,992.53

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Solution

The fourth proportional to 7,674.04, 10,596.14 and 5,992.53 is: 8,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.04 : 10,596.14 = 5,992.53 : x
  2. Step 2: Convert to fraction form
    7,674.04/10,596.14 = 5,992.53/x
  3. Step 3: Cross multiply
    7,674.04x = 10,596.14 × 5,992.53
  4. Step 4: Simplify right side
    7,674.04x = 63,497,656.87
  5. Step 5: Solve for x
    x = 63,497,656.87/7,674.04
  6. Step 6: Final answer
    x = 8,274.35

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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.