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Finding the Fourth Proportional to 7,801.74, 11,702.50 and 2,537.00

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Solution

The fourth proportional to 7,801.74, 11,702.50 and 2,537.00 is: 3,805.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.74 : 11,702.50 = 2,537.00 : x
  2. Step 2: Convert to fraction form
    7,801.74/11,702.50 = 2,537.00/x
  3. Step 3: Cross multiply
    7,801.74x = 11,702.50 × 2,537.00
  4. Step 4: Simplify right side
    7,801.74x = 29,689,195.75
  5. Step 5: Solve for x
    x = 29,689,195.75/7,801.74
  6. Step 6: Final answer
    x = 3,805.46

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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.