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Finding the Fourth Proportional to 11,663.54, 16,095.71 and 6,358.40

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Solution

The fourth proportional to 11,663.54, 16,095.71 and 6,358.40 is: 8,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.54 : 16,095.71 = 6,358.40 : x
  2. Step 2: Convert to fraction form
    11,663.54/16,095.71 = 6,358.40/x
  3. Step 3: Cross multiply
    11,663.54x = 16,095.71 × 6,358.40
  4. Step 4: Simplify right side
    11,663.54x = 102,342,958.24
  5. Step 5: Solve for x
    x = 102,342,958.24/11,663.54
  6. Step 6: Final answer
    x = 8,774.60

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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.