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Finding the Fourth Proportional to 7,673.86, 11,510.45 and 2,408.75

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Solution

The fourth proportional to 7,673.86, 11,510.45 and 2,408.75 is: 3,613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.86 : 11,510.45 = 2,408.75 : x
  2. Step 2: Convert to fraction form
    7,673.86/11,510.45 = 2,408.75/x
  3. Step 3: Cross multiply
    7,673.86x = 11,510.45 × 2,408.75
  4. Step 4: Simplify right side
    7,673.86x = 27,725,726.84
  5. Step 5: Solve for x
    x = 27,725,726.84/7,673.86
  6. Step 6: Final answer
    x = 3,613.01

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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.