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Finding the Fourth Proportional to 8,275.01, 11,420.04 and 4,641.40

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Solution

The fourth proportional to 8,275.01, 11,420.04 and 4,641.40 is: 6,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.01 : 11,420.04 = 4,641.40 : x
  2. Step 2: Convert to fraction form
    8,275.01/11,420.04 = 4,641.40/x
  3. Step 3: Cross multiply
    8,275.01x = 11,420.04 × 4,641.40
  4. Step 4: Simplify right side
    8,275.01x = 53,004,983.92
  5. Step 5: Solve for x
    x = 53,004,983.92/8,275.01
  6. Step 6: Final answer
    x = 6,405.42

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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.