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Finding the Fourth Proportional to 10,633.33, 14,673.45 and 8,117.20

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Solution

The fourth proportional to 10,633.33, 14,673.45 and 8,117.20 is: 11,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.33 : 14,673.45 = 8,117.20 : x
  2. Step 2: Convert to fraction form
    10,633.33/14,673.45 = 8,117.20/x
  3. Step 3: Cross multiply
    10,633.33x = 14,673.45 × 8,117.20
  4. Step 4: Simplify right side
    10,633.33x = 119,107,328.34
  5. Step 5: Solve for x
    x = 119,107,328.34/10,633.33
  6. Step 6: Final answer
    x = 11,201.32

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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.