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Finding the Fourth Proportional to 10,683.55, 14,733.54 and 8,160.97

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Solution

The fourth proportional to 10,683.55, 14,733.54 and 8,160.97 is: 11,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.55 : 14,733.54 = 8,160.97 : x
  2. Step 2: Convert to fraction form
    10,683.55/14,733.54 = 8,160.97/x
  3. Step 3: Cross multiply
    10,683.55x = 14,733.54 × 8,160.97
  4. Step 4: Simplify right side
    10,683.55x = 120,239,941.10
  5. Step 5: Solve for x
    x = 120,239,941.10/10,683.55
  6. Step 6: Final answer
    x = 11,254.68

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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.