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Finding the Fourth Proportional to 12,007.37, 16,569.63 and 6,702.06

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Solution

The fourth proportional to 12,007.37, 16,569.63 and 6,702.06 is: 9,248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.37 : 16,569.63 = 6,702.06 : x
  2. Step 2: Convert to fraction form
    12,007.37/16,569.63 = 6,702.06/x
  3. Step 3: Cross multiply
    12,007.37x = 16,569.63 × 6,702.06
  4. Step 4: Simplify right side
    12,007.37x = 111,050,654.44
  5. Step 5: Solve for x
    x = 111,050,654.44/12,007.37
  6. Step 6: Final answer
    x = 9,248.54

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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.