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Finding the Fourth Proportional to 11,461.52, 17,192.29 and 3,141.60

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Solution

The fourth proportional to 11,461.52, 17,192.29 and 3,141.60 is: 4,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.52 : 17,192.29 = 3,141.60 : x
  2. Step 2: Convert to fraction form
    11,461.52/17,192.29 = 3,141.60/x
  3. Step 3: Cross multiply
    11,461.52x = 17,192.29 × 3,141.60
  4. Step 4: Simplify right side
    11,461.52x = 54,011,298.26
  5. Step 5: Solve for x
    x = 54,011,298.26/11,461.52
  6. Step 6: Final answer
    x = 4,712.40

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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.