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Finding the Fourth Proportional to 11,166.39, 15,409.79 and 6,130.54

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Solution

The fourth proportional to 11,166.39, 15,409.79 and 6,130.54 is: 8,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.39 : 15,409.79 = 6,130.54 : x
  2. Step 2: Convert to fraction form
    11,166.39/15,409.79 = 6,130.54/x
  3. Step 3: Cross multiply
    11,166.39x = 15,409.79 × 6,130.54
  4. Step 4: Simplify right side
    11,166.39x = 94,470,333.99
  5. Step 5: Solve for x
    x = 94,470,333.99/11,166.39
  6. Step 6: Final answer
    x = 8,460.24

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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.