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Finding the Fourth Proportional to 10,312, 14,224.48 and 6,120

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Solution

The fourth proportional to 10,312, 14,224.48 and 6,120 is: 8,441.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312 : 14,224.48 = 6,120 : x
  2. Step 2: Convert to fraction form
    10,312/14,224.48 = 6,120/x
  3. Step 3: Cross multiply
    10,312x = 14,224.48 × 6,120
  4. Step 4: Simplify right side
    10,312x = 87,053,817.60
  5. Step 5: Solve for x
    x = 87,053,817.60/10,312
  6. Step 6: Final answer
    x = 8,441.99

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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.