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Finding the Fourth Proportional to 7,444.38, 10,274.13 and 4,300.59

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Solution

The fourth proportional to 7,444.38, 10,274.13 and 4,300.59 is: 5,935.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.38 : 10,274.13 = 4,300.59 : x
  2. Step 2: Convert to fraction form
    7,444.38/10,274.13 = 4,300.59/x
  3. Step 3: Cross multiply
    7,444.38x = 10,274.13 × 4,300.59
  4. Step 4: Simplify right side
    7,444.38x = 44,184,820.74
  5. Step 5: Solve for x
    x = 44,184,820.74/7,444.38
  6. Step 6: Final answer
    x = 5,935.33

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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.