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Finding the Fourth Proportional to 11,340.83, 15,650.88 and 6,305.14

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Solution

The fourth proportional to 11,340.83, 15,650.88 and 6,305.14 is: 8,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.83 : 15,650.88 = 6,305.14 : x
  2. Step 2: Convert to fraction form
    11,340.83/15,650.88 = 6,305.14/x
  3. Step 3: Cross multiply
    11,340.83x = 15,650.88 × 6,305.14
  4. Step 4: Simplify right side
    11,340.83x = 98,680,989.52
  5. Step 5: Solve for x
    x = 98,680,989.52/11,340.83
  6. Step 6: Final answer
    x = 8,701.39

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Why These Related Problems?

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