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Finding the Fourth Proportional to 11,232.75, 15,501.20 and 6,264.75

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Solution

The fourth proportional to 11,232.75, 15,501.20 and 6,264.75 is: 8,645.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232.75 : 15,501.20 = 6,264.75 : x
  2. Step 2: Convert to fraction form
    11,232.75/15,501.20 = 6,264.75/x
  3. Step 3: Cross multiply
    11,232.75x = 15,501.20 × 6,264.75
  4. Step 4: Simplify right side
    11,232.75x = 97,111,111.38
  5. Step 5: Solve for x
    x = 97,111,111.38/11,232.75
  6. Step 6: Final answer
    x = 8,645.36

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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.