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Finding the Fourth Proportional to 6,777.70, 10,166.55 and 4,452.40

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Solution

The fourth proportional to 6,777.70, 10,166.55 and 4,452.40 is: 6,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.70 : 10,166.55 = 4,452.40 : x
  2. Step 2: Convert to fraction form
    6,777.70/10,166.55 = 4,452.40/x
  3. Step 3: Cross multiply
    6,777.70x = 10,166.55 × 4,452.40
  4. Step 4: Simplify right side
    6,777.70x = 45,265,547.22
  5. Step 5: Solve for x
    x = 45,265,547.22/6,777.70
  6. Step 6: Final answer
    x = 6,678.60

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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.