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Finding the Fourth Proportional to 11,541.66, 17,314.80 and 4,146.72

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Solution

The fourth proportional to 11,541.66, 17,314.80 and 4,146.72 is: 6,220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,541.66 : 17,314.80 = 4,146.72 : x
  2. Step 2: Convert to fraction form
    11,541.66/17,314.80 = 4,146.72/x
  3. Step 3: Cross multiply
    11,541.66x = 17,314.80 × 4,146.72
  4. Step 4: Simplify right side
    11,541.66x = 71,799,627.46
  5. Step 5: Solve for x
    x = 71,799,627.46/11,541.66
  6. Step 6: Final answer
    x = 6,220.91

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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.