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Finding the Fourth Proportional to 7,300.32, 10,074.44 and 4,156.50

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Solution

The fourth proportional to 7,300.32, 10,074.44 and 4,156.50 is: 5,735.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300.32 : 10,074.44 = 4,156.50 : x
  2. Step 2: Convert to fraction form
    7,300.32/10,074.44 = 4,156.50/x
  3. Step 3: Cross multiply
    7,300.32x = 10,074.44 × 4,156.50
  4. Step 4: Simplify right side
    7,300.32x = 41,874,409.86
  5. Step 5: Solve for x
    x = 41,874,409.86/7,300.32
  6. Step 6: Final answer
    x = 5,735.97

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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.