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Finding the Fourth Proportional to 8,434.59, 11,639.65 and 4,657.75

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Solution

The fourth proportional to 8,434.59, 11,639.65 and 4,657.75 is: 6,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.59 : 11,639.65 = 4,657.75 : x
  2. Step 2: Convert to fraction form
    8,434.59/11,639.65 = 4,657.75/x
  3. Step 3: Cross multiply
    8,434.59x = 11,639.65 × 4,657.75
  4. Step 4: Simplify right side
    8,434.59x = 54,214,579.79
  5. Step 5: Solve for x
    x = 54,214,579.79/8,434.59
  6. Step 6: Final answer
    x = 6,427.65

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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.