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Finding the Fourth Proportional to 10,852, 14,975.76 and 5,884

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Solution

The fourth proportional to 10,852, 14,975.76 and 5,884 is: 8,119.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852 : 14,975.76 = 5,884 : x
  2. Step 2: Convert to fraction form
    10,852/14,975.76 = 5,884/x
  3. Step 3: Cross multiply
    10,852x = 14,975.76 × 5,884
  4. Step 4: Simplify right side
    10,852x = 88,117,371.84
  5. Step 5: Solve for x
    x = 88,117,371.84/10,852
  6. Step 6: Final answer
    x = 8,119.92

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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.