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Finding the Fourth Proportional to 7,725.75, 11,588.09 and 4,030.07

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Solution

The fourth proportional to 7,725.75, 11,588.09 and 4,030.07 is: 6,044.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.75 : 11,588.09 = 4,030.07 : x
  2. Step 2: Convert to fraction form
    7,725.75/11,588.09 = 4,030.07/x
  3. Step 3: Cross multiply
    7,725.75x = 11,588.09 × 4,030.07
  4. Step 4: Simplify right side
    7,725.75x = 46,700,735.78
  5. Step 5: Solve for x
    x = 46,700,735.78/7,725.75
  6. Step 6: Final answer
    x = 6,044.82

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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.