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Finding the Fourth Proportional to 7,652.88, 11,479.38 and 2,105.70

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Solution

The fourth proportional to 7,652.88, 11,479.38 and 2,105.70 is: 3,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.88 : 11,479.38 = 2,105.70 : x
  2. Step 2: Convert to fraction form
    7,652.88/11,479.38 = 2,105.70/x
  3. Step 3: Cross multiply
    7,652.88x = 11,479.38 × 2,105.70
  4. Step 4: Simplify right side
    7,652.88x = 24,172,130.47
  5. Step 5: Solve for x
    x = 24,172,130.47/7,652.88
  6. Step 6: Final answer
    x = 3,158.57

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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.