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Finding the Fourth Proportional to 6,341.52, 9,511.99 and 1,661.42

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Solution

The fourth proportional to 6,341.52, 9,511.99 and 1,661.42 is: 2,492.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.52 : 9,511.99 = 1,661.42 : x
  2. Step 2: Convert to fraction form
    6,341.52/9,511.99 = 1,661.42/x
  3. Step 3: Cross multiply
    6,341.52x = 9,511.99 × 1,661.42
  4. Step 4: Simplify right side
    6,341.52x = 15,803,407.97
  5. Step 5: Solve for x
    x = 15,803,407.97/6,341.52
  6. Step 6: Final answer
    x = 2,492.06

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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.