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Finding the Fourth Proportional to 11,166.30, 15,412.26 and 6,453.30

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Solution

The fourth proportional to 11,166.30, 15,412.26 and 6,453.30 is: 8,907.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.30 : 15,412.26 = 6,453.30 : x
  2. Step 2: Convert to fraction form
    11,166.30/15,412.26 = 6,453.30/x
  3. Step 3: Cross multiply
    11,166.30x = 15,412.26 × 6,453.30
  4. Step 4: Simplify right side
    11,166.30x = 99,459,937.46
  5. Step 5: Solve for x
    x = 99,459,937.46/11,166.30
  6. Step 6: Final answer
    x = 8,907.15

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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.