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Finding the Fourth Proportional to 11,407.41, 17,141.49 and 6,146.46

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Solution

The fourth proportional to 11,407.41, 17,141.49 and 6,146.46 is: 9,236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.41 : 17,141.49 = 6,146.46 : x
  2. Step 2: Convert to fraction form
    11,407.41/17,141.49 = 6,146.46/x
  3. Step 3: Cross multiply
    11,407.41x = 17,141.49 × 6,146.46
  4. Step 4: Simplify right side
    11,407.41x = 105,359,482.63
  5. Step 5: Solve for x
    x = 105,359,482.63/11,407.41
  6. Step 6: Final answer
    x = 9,236.06

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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.