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Finding the Fourth Proportional to 11,362.32, 15,684.84 and 7,638.48

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Solution

The fourth proportional to 11,362.32, 15,684.84 and 7,638.48 is: 10,544.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362.32 : 15,684.84 = 7,638.48 : x
  2. Step 2: Convert to fraction form
    11,362.32/15,684.84 = 7,638.48/x
  3. Step 3: Cross multiply
    11,362.32x = 15,684.84 × 7,638.48
  4. Step 4: Simplify right side
    11,362.32x = 119,808,336.64
  5. Step 5: Solve for x
    x = 119,808,336.64/11,362.32
  6. Step 6: Final answer
    x = 10,544.36

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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.