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Finding the Fourth Proportional to 7,702.36, 11,554.98 and 2,506.84

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Solution

The fourth proportional to 7,702.36, 11,554.98 and 2,506.84 is: 3,760.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.36 : 11,554.98 = 2,506.84 : x
  2. Step 2: Convert to fraction form
    7,702.36/11,554.98 = 2,506.84/x
  3. Step 3: Cross multiply
    7,702.36x = 11,554.98 × 2,506.84
  4. Step 4: Simplify right side
    7,702.36x = 28,966,486.06
  5. Step 5: Solve for x
    x = 28,966,486.06/7,702.36
  6. Step 6: Final answer
    x = 3,760.73

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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.