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Finding the Fourth Proportional to 12,113.79, 16,715.69 and 7,268.26

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Solution

The fourth proportional to 12,113.79, 16,715.69 and 7,268.26 is: 10,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.79 : 16,715.69 = 7,268.26 : x
  2. Step 2: Convert to fraction form
    12,113.79/16,715.69 = 7,268.26/x
  3. Step 3: Cross multiply
    12,113.79x = 16,715.69 × 7,268.26
  4. Step 4: Simplify right side
    12,113.79x = 121,493,981.00
  5. Step 5: Solve for x
    x = 121,493,981.00/12,113.79
  6. Step 6: Final answer
    x = 10,029.39

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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.