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Finding the Fourth Proportional to 7,702.72, 11,554 and 1,859.28

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Solution

The fourth proportional to 7,702.72, 11,554 and 1,859.28 is: 2,788.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.72 : 11,554 = 1,859.28 : x
  2. Step 2: Convert to fraction form
    7,702.72/11,554 = 1,859.28/x
  3. Step 3: Cross multiply
    7,702.72x = 11,554 × 1,859.28
  4. Step 4: Simplify right side
    7,702.72x = 21,482,121.12
  5. Step 5: Solve for x
    x = 21,482,121.12/7,702.72
  6. Step 6: Final answer
    x = 2,788.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.