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Finding the Fourth Proportional to 11,263.66, 15,544.29 and 7,480.31

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Solution

The fourth proportional to 11,263.66, 15,544.29 and 7,480.31 is: 10,323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,263.66 : 15,544.29 = 7,480.31 : x
  2. Step 2: Convert to fraction form
    11,263.66/15,544.29 = 7,480.31/x
  3. Step 3: Cross multiply
    11,263.66x = 15,544.29 × 7,480.31
  4. Step 4: Simplify right side
    11,263.66x = 116,276,058.26
  5. Step 5: Solve for x
    x = 116,276,058.26/11,263.66
  6. Step 6: Final answer
    x = 10,323.11

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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.