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Finding the Fourth Proportional to 11,825.58, 17,702.13 and 7,657.29

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Solution

The fourth proportional to 11,825.58, 17,702.13 and 7,657.29 is: 11,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.58 : 17,702.13 = 7,657.29 : x
  2. Step 2: Convert to fraction form
    11,825.58/17,702.13 = 7,657.29/x
  3. Step 3: Cross multiply
    11,825.58x = 17,702.13 × 7,657.29
  4. Step 4: Simplify right side
    11,825.58x = 135,550,254.52
  5. Step 5: Solve for x
    x = 135,550,254.52/11,825.58
  6. Step 6: Final answer
    x = 11,462.47

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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.