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Finding the Fourth Proportional to 7,027.85, 10,538.19 and 2,346.18

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Solution

The fourth proportional to 7,027.85, 10,538.19 and 2,346.18 is: 3,518.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.85 : 10,538.19 = 2,346.18 : x
  2. Step 2: Convert to fraction form
    7,027.85/10,538.19 = 2,346.18/x
  3. Step 3: Cross multiply
    7,027.85x = 10,538.19 × 2,346.18
  4. Step 4: Simplify right side
    7,027.85x = 24,724,455.50
  5. Step 5: Solve for x
    x = 24,724,455.50/7,027.85
  6. Step 6: Final answer
    x = 3,518.07

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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.