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Finding the Fourth Proportional to 8,732.02, 12,056.33 and 6,820

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Solution

The fourth proportional to 8,732.02, 12,056.33 and 6,820 is: 9,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732.02 : 12,056.33 = 6,820 : x
  2. Step 2: Convert to fraction form
    8,732.02/12,056.33 = 6,820/x
  3. Step 3: Cross multiply
    8,732.02x = 12,056.33 × 6,820
  4. Step 4: Simplify right side
    8,732.02x = 82,224,170.60
  5. Step 5: Solve for x
    x = 82,224,170.60/8,732.02
  6. Step 6: Final answer
    x = 9,416.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.