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Finding the Fourth Proportional to 6,709.20, 10,056.60 and 2,547.60

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Solution

The fourth proportional to 6,709.20, 10,056.60 and 2,547.60 is: 3,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.20 : 10,056.60 = 2,547.60 : x
  2. Step 2: Convert to fraction form
    6,709.20/10,056.60 = 2,547.60/x
  3. Step 3: Cross multiply
    6,709.20x = 10,056.60 × 2,547.60
  4. Step 4: Simplify right side
    6,709.20x = 25,620,194.16
  5. Step 5: Solve for x
    x = 25,620,194.16/6,709.20
  6. Step 6: Final answer
    x = 3,818.67

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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.