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Finding the Fourth Proportional to 7,074.72, 10,592.06 and 5,406.93

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Solution

The fourth proportional to 7,074.72, 10,592.06 and 5,406.93 is: 8,095.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.72 : 10,592.06 = 5,406.93 : x
  2. Step 2: Convert to fraction form
    7,074.72/10,592.06 = 5,406.93/x
  3. Step 3: Cross multiply
    7,074.72x = 10,592.06 × 5,406.93
  4. Step 4: Simplify right side
    7,074.72x = 57,270,499.94
  5. Step 5: Solve for x
    x = 57,270,499.94/7,074.72
  6. Step 6: Final answer
    x = 8,095.09

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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.