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Finding the Fourth Proportional to 7,300.13, 10,074.19 and 4,156.32

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Solution

The fourth proportional to 7,300.13, 10,074.19 and 4,156.32 is: 5,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300.13 : 10,074.19 = 4,156.32 : x
  2. Step 2: Convert to fraction form
    7,300.13/10,074.19 = 4,156.32/x
  3. Step 3: Cross multiply
    7,300.13x = 10,074.19 × 4,156.32
  4. Step 4: Simplify right side
    7,300.13x = 41,871,557.38
  5. Step 5: Solve for x
    x = 41,871,557.38/7,300.13
  6. Step 6: Final answer
    x = 5,735.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.