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Finding the Fourth Proportional to 11,647.60, 17,459.04 and 8,375.26

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Solution

The fourth proportional to 11,647.60, 17,459.04 and 8,375.26 is: 12,554.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.60 : 17,459.04 = 8,375.26 : x
  2. Step 2: Convert to fraction form
    11,647.60/17,459.04 = 8,375.26/x
  3. Step 3: Cross multiply
    11,647.60x = 17,459.04 × 8,375.26
  4. Step 4: Simplify right side
    11,647.60x = 146,223,999.35
  5. Step 5: Solve for x
    x = 146,223,999.35/11,647.60
  6. Step 6: Final answer
    x = 12,554.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.