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Finding the Fourth Proportional to 7,702.88, 11,554.28 and 2,438.40

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Solution

The fourth proportional to 7,702.88, 11,554.28 and 2,438.40 is: 3,657.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.88 : 11,554.28 = 2,438.40 : x
  2. Step 2: Convert to fraction form
    7,702.88/11,554.28 = 2,438.40/x
  3. Step 3: Cross multiply
    7,702.88x = 11,554.28 × 2,438.40
  4. Step 4: Simplify right side
    7,702.88x = 28,173,944.16
  5. Step 5: Solve for x
    x = 28,173,944.16/7,702.88
  6. Step 6: Final answer
    x = 3,657.59

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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.