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Finding the Fourth Proportional to 11,466.54, 17,165.79 and 7,010.87

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Solution

The fourth proportional to 11,466.54, 17,165.79 and 7,010.87 is: 10,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.54 : 17,165.79 = 7,010.87 : x
  2. Step 2: Convert to fraction form
    11,466.54/17,165.79 = 7,010.87/x
  3. Step 3: Cross multiply
    11,466.54x = 17,165.79 × 7,010.87
  4. Step 4: Simplify right side
    11,466.54x = 120,347,036.31
  5. Step 5: Solve for x
    x = 120,347,036.31/11,466.54
  6. Step 6: Final answer
    x = 10,495.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.