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Finding the Fourth Proportional to 11,461.30, 15,815.18 and 6,983.42

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Solution

The fourth proportional to 11,461.30, 15,815.18 and 6,983.42 is: 9,636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.30 : 15,815.18 = 6,983.42 : x
  2. Step 2: Convert to fraction form
    11,461.30/15,815.18 = 6,983.42/x
  3. Step 3: Cross multiply
    11,461.30x = 15,815.18 × 6,983.42
  4. Step 4: Simplify right side
    11,461.30x = 110,444,044.32
  5. Step 5: Solve for x
    x = 110,444,044.32/11,461.30
  6. Step 6: Final answer
    x = 9,636.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.