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Finding the Fourth Proportional to 6,709.20, 10,063.80 and 4,376.40

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Solution

The fourth proportional to 6,709.20, 10,063.80 and 4,376.40 is: 6,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.20 : 10,063.80 = 4,376.40 : x
  2. Step 2: Convert to fraction form
    6,709.20/10,063.80 = 4,376.40/x
  3. Step 3: Cross multiply
    6,709.20x = 10,063.80 × 4,376.40
  4. Step 4: Simplify right side
    6,709.20x = 44,043,214.32
  5. Step 5: Solve for x
    x = 44,043,214.32/6,709.20
  6. Step 6: Final answer
    x = 6,564.60

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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.