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Finding the Fourth Proportional to 7,648.90, 11,471.27 and 2,100.93

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Solution

The fourth proportional to 7,648.90, 11,471.27 and 2,100.93 is: 3,150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.90 : 11,471.27 = 2,100.93 : x
  2. Step 2: Convert to fraction form
    7,648.90/11,471.27 = 2,100.93/x
  3. Step 3: Cross multiply
    7,648.90x = 11,471.27 × 2,100.93
  4. Step 4: Simplify right side
    7,648.90x = 24,100,307.21
  5. Step 5: Solve for x
    x = 24,100,307.21/7,648.90
  6. Step 6: Final answer
    x = 3,150.82

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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.