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Finding the Fourth Proportional to 10,933.60, 16,391.40 and 4,698.40

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Solution

The fourth proportional to 10,933.60, 16,391.40 and 4,698.40 is: 7,043.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933.60 : 16,391.40 = 4,698.40 : x
  2. Step 2: Convert to fraction form
    10,933.60/16,391.40 = 4,698.40/x
  3. Step 3: Cross multiply
    10,933.60x = 16,391.40 × 4,698.40
  4. Step 4: Simplify right side
    10,933.60x = 77,013,353.76
  5. Step 5: Solve for x
    x = 77,013,353.76/10,933.60
  6. Step 6: Final answer
    x = 7,043.73

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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.