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Finding the Fourth Proportional to 10,460.24, 15,668.76 and 8,383.76

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Solution

The fourth proportional to 10,460.24, 15,668.76 and 8,383.76 is: 12,558.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.24 : 15,668.76 = 8,383.76 : x
  2. Step 2: Convert to fraction form
    10,460.24/15,668.76 = 8,383.76/x
  3. Step 3: Cross multiply
    10,460.24x = 15,668.76 × 8,383.76
  4. Step 4: Simplify right side
    10,460.24x = 131,363,123.34
  5. Step 5: Solve for x
    x = 131,363,123.34/10,460.24
  6. Step 6: Final answer
    x = 12,558.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.