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Finding the Fourth Proportional to 10,315.76, 14,239.42 and 6,124

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Solution

The fourth proportional to 10,315.76, 14,239.42 and 6,124 is: 8,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.76 : 14,239.42 = 6,124 : x
  2. Step 2: Convert to fraction form
    10,315.76/14,239.42 = 6,124/x
  3. Step 3: Cross multiply
    10,315.76x = 14,239.42 × 6,124
  4. Step 4: Simplify right side
    10,315.76x = 87,202,208.08
  5. Step 5: Solve for x
    x = 87,202,208.08/10,315.76
  6. Step 6: Final answer
    x = 8,453.30

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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.