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Finding the Fourth Proportional to 7,674.32, 10,589.82 and 4,317.06

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Solution

The fourth proportional to 7,674.32, 10,589.82 and 4,317.06 is: 5,957.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.32 : 10,589.82 = 4,317.06 : x
  2. Step 2: Convert to fraction form
    7,674.32/10,589.82 = 4,317.06/x
  3. Step 3: Cross multiply
    7,674.32x = 10,589.82 × 4,317.06
  4. Step 4: Simplify right side
    7,674.32x = 45,716,911.85
  5. Step 5: Solve for x
    x = 45,716,911.85/7,674.32
  6. Step 6: Final answer
    x = 5,957.13

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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.