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Finding the Fourth Proportional to 7,589.16, 11,381.04 and 4,658.64

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Solution

The fourth proportional to 7,589.16, 11,381.04 and 4,658.64 is: 6,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.16 : 11,381.04 = 4,658.64 : x
  2. Step 2: Convert to fraction form
    7,589.16/11,381.04 = 4,658.64/x
  3. Step 3: Cross multiply
    7,589.16x = 11,381.04 × 4,658.64
  4. Step 4: Simplify right side
    7,589.16x = 53,020,168.19
  5. Step 5: Solve for x
    x = 53,020,168.19/7,589.16
  6. Step 6: Final answer
    x = 6,986.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.