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Finding the Fourth Proportional to 10,928.80, 16,391.94 and 3,031.90

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Solution

The fourth proportional to 10,928.80, 16,391.94 and 3,031.90 is: 4,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,928.80 : 16,391.94 = 3,031.90 : x
  2. Step 2: Convert to fraction form
    10,928.80/16,391.94 = 3,031.90/x
  3. Step 3: Cross multiply
    10,928.80x = 16,391.94 × 3,031.90
  4. Step 4: Simplify right side
    10,928.80x = 49,698,722.89
  5. Step 5: Solve for x
    x = 49,698,722.89/10,928.80
  6. Step 6: Final answer
    x = 4,547.50

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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.