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Finding the Fourth Proportional to 11,513.49, 15,819.77 and 9,151.53

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Solution

The fourth proportional to 11,513.49, 15,819.77 and 9,151.53 is: 12,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.49 : 15,819.77 = 9,151.53 : x
  2. Step 2: Convert to fraction form
    11,513.49/15,819.77 = 9,151.53/x
  3. Step 3: Cross multiply
    11,513.49x = 15,819.77 × 9,151.53
  4. Step 4: Simplify right side
    11,513.49x = 144,775,053.99
  5. Step 5: Solve for x
    x = 144,775,053.99/11,513.49
  6. Step 6: Final answer
    x = 12,574.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.