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Finding the Fourth Proportional to 11,663.22, 16,095.24 and 6,358.08

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Solution

The fourth proportional to 11,663.22, 16,095.24 and 6,358.08 is: 8,774.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.22 : 16,095.24 = 6,358.08 : x
  2. Step 2: Convert to fraction form
    11,663.22/16,095.24 = 6,358.08/x
  3. Step 3: Cross multiply
    11,663.22x = 16,095.24 × 6,358.08
  4. Step 4: Simplify right side
    11,663.22x = 102,334,823.54
  5. Step 5: Solve for x
    x = 102,334,823.54/11,663.22
  6. Step 6: Final answer
    x = 8,774.15

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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.