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Finding the Fourth Proportional to 11,105.68, 15,325.32 and 6,632.40

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Solution

The fourth proportional to 11,105.68, 15,325.32 and 6,632.40 is: 9,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.68 : 15,325.32 = 6,632.40 : x
  2. Step 2: Convert to fraction form
    11,105.68/15,325.32 = 6,632.40/x
  3. Step 3: Cross multiply
    11,105.68x = 15,325.32 × 6,632.40
  4. Step 4: Simplify right side
    11,105.68x = 101,643,652.37
  5. Step 5: Solve for x
    x = 101,643,652.37/11,105.68
  6. Step 6: Final answer
    x = 9,152.40

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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.