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Finding the Fourth Proportional to 11,929.18, 16,458.90 and 7,457.46

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Solution

The fourth proportional to 11,929.18, 16,458.90 and 7,457.46 is: 10,289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.18 : 16,458.90 = 7,457.46 : x
  2. Step 2: Convert to fraction form
    11,929.18/16,458.90 = 7,457.46/x
  3. Step 3: Cross multiply
    11,929.18x = 16,458.90 × 7,457.46
  4. Step 4: Simplify right side
    11,929.18x = 122,741,588.39
  5. Step 5: Solve for x
    x = 122,741,588.39/11,929.18
  6. Step 6: Final answer
    x = 10,289.19

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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.