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Finding the Fourth Proportional to 10,404.60, 14,357.43 and 5,928.18

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Solution

The fourth proportional to 10,404.60, 14,357.43 and 5,928.18 is: 8,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.60 : 14,357.43 = 5,928.18 : x
  2. Step 2: Convert to fraction form
    10,404.60/14,357.43 = 5,928.18/x
  3. Step 3: Cross multiply
    10,404.60x = 14,357.43 × 5,928.18
  4. Step 4: Simplify right side
    10,404.60x = 85,113,429.38
  5. Step 5: Solve for x
    x = 85,113,429.38/10,404.60
  6. Step 6: Final answer
    x = 8,180.37

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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.