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Finding the Fourth Proportional to 7,995.40, 11,033.76 and 4,638.40

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Solution

The fourth proportional to 7,995.40, 11,033.76 and 4,638.40 is: 6,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,995.40 : 11,033.76 = 4,638.40 : x
  2. Step 2: Convert to fraction form
    7,995.40/11,033.76 = 4,638.40/x
  3. Step 3: Cross multiply
    7,995.40x = 11,033.76 × 4,638.40
  4. Step 4: Simplify right side
    7,995.40x = 51,178,992.38
  5. Step 5: Solve for x
    x = 51,178,992.38/7,995.40
  6. Step 6: Final answer
    x = 6,401.05

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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.