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Finding the Fourth Proportional to 8,297.00, 11,446.72 and 5,312.35

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Solution

The fourth proportional to 8,297.00, 11,446.72 and 5,312.35 is: 7,329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.00 : 11,446.72 = 5,312.35 : x
  2. Step 2: Convert to fraction form
    8,297.00/11,446.72 = 5,312.35/x
  3. Step 3: Cross multiply
    8,297.00x = 11,446.72 × 5,312.35
  4. Step 4: Simplify right side
    8,297.00x = 60,808,984.02
  5. Step 5: Solve for x
    x = 60,808,984.02/8,297.00
  6. Step 6: Final answer
    x = 7,329.03

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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.