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Finding the Fourth Proportional to 8,298.72, 12,452.40 and 7,820.64

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Solution

The fourth proportional to 8,298.72, 12,452.40 and 7,820.64 is: 11,735.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.72 : 12,452.40 = 7,820.64 : x
  2. Step 2: Convert to fraction form
    8,298.72/12,452.40 = 7,820.64/x
  3. Step 3: Cross multiply
    8,298.72x = 12,452.40 × 7,820.64
  4. Step 4: Simplify right side
    8,298.72x = 97,385,737.54
  5. Step 5: Solve for x
    x = 97,385,737.54/8,298.72
  6. Step 6: Final answer
    x = 11,735.03

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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.