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Finding the Fourth Proportional to 8,271.03, 11,414.54 and 4,734.17

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Solution

The fourth proportional to 8,271.03, 11,414.54 and 4,734.17 is: 6,533.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.03 : 11,414.54 = 4,734.17 : x
  2. Step 2: Convert to fraction form
    8,271.03/11,414.54 = 4,734.17/x
  3. Step 3: Cross multiply
    8,271.03x = 11,414.54 × 4,734.17
  4. Step 4: Simplify right side
    8,271.03x = 54,038,352.65
  5. Step 5: Solve for x
    x = 54,038,352.65/8,271.03
  6. Step 6: Final answer
    x = 6,533.45

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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.