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Finding the Fourth Proportional to 8,275.59, 11,420.03 and 4,738.11

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Solution

The fourth proportional to 8,275.59, 11,420.03 and 4,738.11 is: 6,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.59 : 11,420.03 = 4,738.11 : x
  2. Step 2: Convert to fraction form
    8,275.59/11,420.03 = 4,738.11/x
  3. Step 3: Cross multiply
    8,275.59x = 11,420.03 × 4,738.11
  4. Step 4: Simplify right side
    8,275.59x = 54,109,358.34
  5. Step 5: Solve for x
    x = 54,109,358.34/8,275.59
  6. Step 6: Final answer
    x = 6,538.43

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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.