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Finding the Fourth Proportional to 11,668.24, 16,113.08 and 7,483.76

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Solution

The fourth proportional to 11,668.24, 16,113.08 and 7,483.76 is: 10,334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.24 : 16,113.08 = 7,483.76 : x
  2. Step 2: Convert to fraction form
    11,668.24/16,113.08 = 7,483.76/x
  3. Step 3: Cross multiply
    11,668.24x = 16,113.08 × 7,483.76
  4. Step 4: Simplify right side
    11,668.24x = 120,586,423.58
  5. Step 5: Solve for x
    x = 120,586,423.58/11,668.24
  6. Step 6: Final answer
    x = 10,334.59

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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.