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Finding the Fourth Proportional to 11,354.10, 15,666.91 and 6,318.37

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Solution

The fourth proportional to 11,354.10, 15,666.91 and 6,318.37 is: 8,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.10 : 15,666.91 = 6,318.37 : x
  2. Step 2: Convert to fraction form
    11,354.10/15,666.91 = 6,318.37/x
  3. Step 3: Cross multiply
    11,354.10x = 15,666.91 × 6,318.37
  4. Step 4: Simplify right side
    11,354.10x = 98,989,334.14
  5. Step 5: Solve for x
    x = 98,989,334.14/11,354.10
  6. Step 6: Final answer
    x = 8,718.38

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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.