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Finding the Fourth Proportional to 12,702.06, 17,537.40 and 7,929.27

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Solution

The fourth proportional to 12,702.06, 17,537.40 and 7,929.27 is: 10,947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.06 : 17,537.40 = 7,929.27 : x
  2. Step 2: Convert to fraction form
    12,702.06/17,537.40 = 7,929.27/x
  3. Step 3: Cross multiply
    12,702.06x = 17,537.40 × 7,929.27
  4. Step 4: Simplify right side
    12,702.06x = 139,058,779.70
  5. Step 5: Solve for x
    x = 139,058,779.70/12,702.06
  6. Step 6: Final answer
    x = 10,947.73

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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.