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Finding the Fourth Proportional to 10,404.63, 14,358.33 and 5,928.57

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Solution

The fourth proportional to 10,404.63, 14,358.33 and 5,928.57 is: 8,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.63 : 14,358.33 = 5,928.57 : x
  2. Step 2: Convert to fraction form
    10,404.63/14,358.33 = 5,928.57/x
  3. Step 3: Cross multiply
    10,404.63x = 14,358.33 × 5,928.57
  4. Step 4: Simplify right side
    10,404.63x = 85,124,364.49
  5. Step 5: Solve for x
    x = 85,124,364.49/10,404.63
  6. Step 6: Final answer
    x = 8,181.39

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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.