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Finding the Fourth Proportional to 11,705.70, 17,558.55 and 4,310.40

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Solution

The fourth proportional to 11,705.70, 17,558.55 and 4,310.40 is: 6,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.70 : 17,558.55 = 4,310.40 : x
  2. Step 2: Convert to fraction form
    11,705.70/17,558.55 = 4,310.40/x
  3. Step 3: Cross multiply
    11,705.70x = 17,558.55 × 4,310.40
  4. Step 4: Simplify right side
    11,705.70x = 75,684,373.92
  5. Step 5: Solve for x
    x = 75,684,373.92/11,705.70
  6. Step 6: Final answer
    x = 6,465.60

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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.