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Finding the Fourth Proportional to 10,185.94, 15,283.27 and 4,264.21

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Solution

The fourth proportional to 10,185.94, 15,283.27 and 4,264.21 is: 6,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.94 : 15,283.27 = 4,264.21 : x
  2. Step 2: Convert to fraction form
    10,185.94/15,283.27 = 4,264.21/x
  3. Step 3: Cross multiply
    10,185.94x = 15,283.27 × 4,264.21
  4. Step 4: Simplify right side
    10,185.94x = 65,171,062.11
  5. Step 5: Solve for x
    x = 65,171,062.11/10,185.94
  6. Step 6: Final answer
    x = 6,398.14

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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.