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Finding the Fourth Proportional to 8,506.55, 11,733.85 and 5,984.21

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Solution

The fourth proportional to 8,506.55, 11,733.85 and 5,984.21 is: 8,254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.55 : 11,733.85 = 5,984.21 : x
  2. Step 2: Convert to fraction form
    8,506.55/11,733.85 = 5,984.21/x
  3. Step 3: Cross multiply
    8,506.55x = 11,733.85 × 5,984.21
  4. Step 4: Simplify right side
    8,506.55x = 70,217,822.51
  5. Step 5: Solve for x
    x = 70,217,822.51/8,506.55
  6. Step 6: Final answer
    x = 8,254.56

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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.