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Finding the Fourth Proportional to 7,648.79, 11,476.24 and 3,490.74

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Solution

The fourth proportional to 7,648.79, 11,476.24 and 3,490.74 is: 5,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.79 : 11,476.24 = 3,490.74 : x
  2. Step 2: Convert to fraction form
    7,648.79/11,476.24 = 3,490.74/x
  3. Step 3: Cross multiply
    7,648.79x = 11,476.24 × 3,490.74
  4. Step 4: Simplify right side
    7,648.79x = 40,060,561.29
  5. Step 5: Solve for x
    x = 40,060,561.29/7,648.79
  6. Step 6: Final answer
    x = 5,237.51

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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.