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Finding the Fourth Proportional to 11,145.34, 15,381.02 and 6,366.07

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Solution

The fourth proportional to 11,145.34, 15,381.02 and 6,366.07 is: 8,785.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145.34 : 15,381.02 = 6,366.07 : x
  2. Step 2: Convert to fraction form
    11,145.34/15,381.02 = 6,366.07/x
  3. Step 3: Cross multiply
    11,145.34x = 15,381.02 × 6,366.07
  4. Step 4: Simplify right side
    11,145.34x = 97,916,649.99
  5. Step 5: Solve for x
    x = 97,916,649.99/11,145.34
  6. Step 6: Final answer
    x = 8,785.43

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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.