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Finding the Fourth Proportional to 10,264.36, 15,386.82 and 3,334

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Solution

The fourth proportional to 10,264.36, 15,386.82 and 3,334 is: 4,997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.36 : 15,386.82 = 3,334 : x
  2. Step 2: Convert to fraction form
    10,264.36/15,386.82 = 3,334/x
  3. Step 3: Cross multiply
    10,264.36x = 15,386.82 × 3,334
  4. Step 4: Simplify right side
    10,264.36x = 51,299,657.88
  5. Step 5: Solve for x
    x = 51,299,657.88/10,264.36
  6. Step 6: Final answer
    x = 4,997.84

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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.