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Finding the Fourth Proportional to 10,955.80, 16,419.85 and 5,957.97

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Solution

The fourth proportional to 10,955.80, 16,419.85 and 5,957.97 is: 8,929.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.80 : 16,419.85 = 5,957.97 : x
  2. Step 2: Convert to fraction form
    10,955.80/16,419.85 = 5,957.97/x
  3. Step 3: Cross multiply
    10,955.80x = 16,419.85 × 5,957.97
  4. Step 4: Simplify right side
    10,955.80x = 97,828,973.70
  5. Step 5: Solve for x
    x = 97,828,973.70/10,955.80
  6. Step 6: Final answer
    x = 8,929.42

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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.