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Finding the Fourth Proportional to 10,080.90, 13,416.75 and 10,080.90

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Solution

The fourth proportional to 10,080.90, 13,416.75 and 10,080.90 is: 13,416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080.90 : 13,416.75 = 10,080.90 : x
  2. Step 2: Convert to fraction form
    10,080.90/13,416.75 = 10,080.90/x
  3. Step 3: Cross multiply
    10,080.90x = 13,416.75 × 10,080.90
  4. Step 4: Simplify right side
    10,080.90x = 135,252,915.08
  5. Step 5: Solve for x
    x = 135,252,915.08/10,080.90
  6. Step 6: Final answer
    x = 13,416.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.