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Finding the Fourth Proportional to 27,425.64, 41,140 and 7,702.66

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Solution

The fourth proportional to 27,425.64, 41,140 and 7,702.66 is: 11,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,425.64 : 41,140 = 7,702.66 : x
  2. Step 2: Convert to fraction form
    27,425.64/41,140 = 7,702.66/x
  3. Step 3: Cross multiply
    27,425.64x = 41,140 × 7,702.66
  4. Step 4: Simplify right side
    27,425.64x = 316,887,432.40
  5. Step 5: Solve for x
    x = 316,887,432.40/27,425.64
  6. Step 6: Final answer
    x = 11,554.42

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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.