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Finding the Fourth Proportional to 10,955.82, 16,420.05 and 4,708.50

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Solution

The fourth proportional to 10,955.82, 16,420.05 and 4,708.50 is: 7,056.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.82 : 16,420.05 = 4,708.50 : x
  2. Step 2: Convert to fraction form
    10,955.82/16,420.05 = 4,708.50/x
  3. Step 3: Cross multiply
    10,955.82x = 16,420.05 × 4,708.50
  4. Step 4: Simplify right side
    10,955.82x = 77,313,805.43
  5. Step 5: Solve for x
    x = 77,313,805.43/10,955.82
  6. Step 6: Final answer
    x = 7,056.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.