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Finding the Fourth Proportional to 10,835.44, 14,953.14 and 6,119.75

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Solution

The fourth proportional to 10,835.44, 14,953.14 and 6,119.75 is: 8,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.44 : 14,953.14 = 6,119.75 : x
  2. Step 2: Convert to fraction form
    10,835.44/14,953.14 = 6,119.75/x
  3. Step 3: Cross multiply
    10,835.44x = 14,953.14 × 6,119.75
  4. Step 4: Simplify right side
    10,835.44x = 91,509,515.90
  5. Step 5: Solve for x
    x = 91,509,515.90/10,835.44
  6. Step 6: Final answer
    x = 8,445.39

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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.