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Finding the Fourth Proportional to 11,929.28, 16,459.08 and 7,457.59

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Solution

The fourth proportional to 11,929.28, 16,459.08 and 7,457.59 is: 10,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.28 : 16,459.08 = 7,457.59 : x
  2. Step 2: Convert to fraction form
    11,929.28/16,459.08 = 7,457.59/x
  3. Step 3: Cross multiply
    11,929.28x = 16,459.08 × 7,457.59
  4. Step 4: Simplify right side
    11,929.28x = 122,745,070.42
  5. Step 5: Solve for x
    x = 122,745,070.42/11,929.28
  6. Step 6: Final answer
    x = 10,289.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.