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Finding the Fourth Proportional to 11,580.10, 15,974.66 and 7,323.99

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Solution

The fourth proportional to 11,580.10, 15,974.66 and 7,323.99 is: 10,103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.10 : 15,974.66 = 7,323.99 : x
  2. Step 2: Convert to fraction form
    11,580.10/15,974.66 = 7,323.99/x
  3. Step 3: Cross multiply
    11,580.10x = 15,974.66 × 7,323.99
  4. Step 4: Simplify right side
    11,580.10x = 116,998,268.40
  5. Step 5: Solve for x
    x = 116,998,268.40/11,580.10
  6. Step 6: Final answer
    x = 10,103.39

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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.