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Finding the Fourth Proportional to 10,189.26, 15,274.14 and 6,480

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Solution

The fourth proportional to 10,189.26, 15,274.14 and 6,480 is: 9,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.26 : 15,274.14 = 6,480 : x
  2. Step 2: Convert to fraction form
    10,189.26/15,274.14 = 6,480/x
  3. Step 3: Cross multiply
    10,189.26x = 15,274.14 × 6,480
  4. Step 4: Simplify right side
    10,189.26x = 98,976,427.20
  5. Step 5: Solve for x
    x = 98,976,427.20/10,189.26
  6. Step 6: Final answer
    x = 9,713.80

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