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Finding the Fourth Proportional to 7,702.65, 11,554.79 and 2,507.31

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Solution

The fourth proportional to 7,702.65, 11,554.79 and 2,507.31 is: 3,761.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.65 : 11,554.79 = 2,507.31 : x
  2. Step 2: Convert to fraction form
    7,702.65/11,554.79 = 2,507.31/x
  3. Step 3: Cross multiply
    7,702.65x = 11,554.79 × 2,507.31
  4. Step 4: Simplify right side
    7,702.65x = 28,971,427.98
  5. Step 5: Solve for x
    x = 28,971,427.98/7,702.65
  6. Step 6: Final answer
    x = 3,761.23

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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.