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Finding the Fourth Proportional to 11,146.82, 16,702.95 and 4,567.46

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Solution

The fourth proportional to 11,146.82, 16,702.95 and 4,567.46 is: 6,844.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.82 : 16,702.95 = 4,567.46 : x
  2. Step 2: Convert to fraction form
    11,146.82/16,702.95 = 4,567.46/x
  3. Step 3: Cross multiply
    11,146.82x = 16,702.95 × 4,567.46
  4. Step 4: Simplify right side
    11,146.82x = 76,290,056.01
  5. Step 5: Solve for x
    x = 76,290,056.01/11,146.82
  6. Step 6: Final answer
    x = 6,844.11

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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.