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Finding the Fourth Proportional to 7,292.34, 10,942.08 and 4,518.27

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Solution

The fourth proportional to 7,292.34, 10,942.08 and 4,518.27 is: 6,779.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292.34 : 10,942.08 = 4,518.27 : x
  2. Step 2: Convert to fraction form
    7,292.34/10,942.08 = 4,518.27/x
  3. Step 3: Cross multiply
    7,292.34x = 10,942.08 × 4,518.27
  4. Step 4: Simplify right side
    7,292.34x = 49,439,271.80
  5. Step 5: Solve for x
    x = 49,439,271.80/7,292.34
  6. Step 6: Final answer
    x = 6,779.62

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Why These Related Problems?

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