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Finding the Fourth Proportional to 11,216.08, 15,462.03 and 7,848.46

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Solution

The fourth proportional to 11,216.08, 15,462.03 and 7,848.46 is: 10,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.08 : 15,462.03 = 7,848.46 : x
  2. Step 2: Convert to fraction form
    11,216.08/15,462.03 = 7,848.46/x
  3. Step 3: Cross multiply
    11,216.08x = 15,462.03 × 7,848.46
  4. Step 4: Simplify right side
    11,216.08x = 121,353,123.97
  5. Step 5: Solve for x
    x = 121,353,123.97/11,216.08
  6. Step 6: Final answer
    x = 10,819.57

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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.