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Finding the Fourth Proportional to 11,365.70, 17,004 and 7,477.70

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Solution

The fourth proportional to 11,365.70, 17,004 and 7,477.70 is: 11,187.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365.70 : 17,004 = 7,477.70 : x
  2. Step 2: Convert to fraction form
    11,365.70/17,004 = 7,477.70/x
  3. Step 3: Cross multiply
    11,365.70x = 17,004 × 7,477.70
  4. Step 4: Simplify right side
    11,365.70x = 127,150,810.80
  5. Step 5: Solve for x
    x = 127,150,810.80/11,365.70
  6. Step 6: Final answer
    x = 11,187.24

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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.