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Finding the Fourth Proportional to 7,446.83, 10,275.98 and 4,259.48

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Solution

The fourth proportional to 7,446.83, 10,275.98 and 4,259.48 is: 5,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.83 : 10,275.98 = 4,259.48 : x
  2. Step 2: Convert to fraction form
    7,446.83/10,275.98 = 4,259.48/x
  3. Step 3: Cross multiply
    7,446.83x = 10,275.98 × 4,259.48
  4. Step 4: Simplify right side
    7,446.83x = 43,770,258.61
  5. Step 5: Solve for x
    x = 43,770,258.61/7,446.83
  6. Step 6: Final answer
    x = 5,877.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.