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Finding the Fourth Proportional to 10,080.30, 14,127 and 10,080.30

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Solution

The fourth proportional to 10,080.30, 14,127 and 10,080.30 is: 14,127

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080.30 : 14,127 = 10,080.30 : x
  2. Step 2: Convert to fraction form
    10,080.30/14,127 = 10,080.30/x
  3. Step 3: Cross multiply
    10,080.30x = 14,127 × 10,080.30
  4. Step 4: Simplify right side
    10,080.30x = 142,404,398.10
  5. Step 5: Solve for x
    x = 142,404,398.10/10,080.30
  6. Step 6: Final answer
    x = 14,127

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.