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Finding the Fourth Proportional to 7,702.98, 11,554.85 and 3,022.57

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Solution

The fourth proportional to 7,702.98, 11,554.85 and 3,022.57 is: 4,534.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.98 : 11,554.85 = 3,022.57 : x
  2. Step 2: Convert to fraction form
    7,702.98/11,554.85 = 3,022.57/x
  3. Step 3: Cross multiply
    7,702.98x = 11,554.85 × 3,022.57
  4. Step 4: Simplify right side
    7,702.98x = 34,925,342.96
  5. Step 5: Solve for x
    x = 34,925,342.96/7,702.98
  6. Step 6: Final answer
    x = 4,534.00

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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.