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Finding the Fourth Proportional to 10,126.76, 15,185.15 and 6,128.15

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Solution

The fourth proportional to 10,126.76, 15,185.15 and 6,128.15 is: 9,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.76 : 15,185.15 = 6,128.15 : x
  2. Step 2: Convert to fraction form
    10,126.76/15,185.15 = 6,128.15/x
  3. Step 3: Cross multiply
    10,126.76x = 15,185.15 × 6,128.15
  4. Step 4: Simplify right side
    10,126.76x = 93,056,846.33
  5. Step 5: Solve for x
    x = 93,056,846.33/10,126.76
  6. Step 6: Final answer
    x = 9,189.20

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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.