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Finding the Fourth Proportional to 7,907.52, 11,853.99 and 2,709.75

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Solution

The fourth proportional to 7,907.52, 11,853.99 and 2,709.75 is: 4,062.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.52 : 11,853.99 = 2,709.75 : x
  2. Step 2: Convert to fraction form
    7,907.52/11,853.99 = 2,709.75/x
  3. Step 3: Cross multiply
    7,907.52x = 11,853.99 × 2,709.75
  4. Step 4: Simplify right side
    7,907.52x = 32,121,349.40
  5. Step 5: Solve for x
    x = 32,121,349.40/7,907.52
  6. Step 6: Final answer
    x = 4,062.13

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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.