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Finding the Fourth Proportional to 7,702.14, 11,554.02 and 2,508.42

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Solution

The fourth proportional to 7,702.14, 11,554.02 and 2,508.42 is: 3,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.14 : 11,554.02 = 2,508.42 : x
  2. Step 2: Convert to fraction form
    7,702.14/11,554.02 = 2,508.42/x
  3. Step 3: Cross multiply
    7,702.14x = 11,554.02 × 2,508.42
  4. Step 4: Simplify right side
    7,702.14x = 28,982,334.85
  5. Step 5: Solve for x
    x = 28,982,334.85/7,702.14
  6. Step 6: Final answer
    x = 3,762.89

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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.