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Finding the Fourth Proportional to 11,663.75, 16,095.93 and 6,358.55

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Solution

The fourth proportional to 11,663.75, 16,095.93 and 6,358.55 is: 8,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.75 : 16,095.93 = 6,358.55 : x
  2. Step 2: Convert to fraction form
    11,663.75/16,095.93 = 6,358.55/x
  3. Step 3: Cross multiply
    11,663.75x = 16,095.93 × 6,358.55
  4. Step 4: Simplify right side
    11,663.75x = 102,346,775.70
  5. Step 5: Solve for x
    x = 102,346,775.70/11,663.75
  6. Step 6: Final answer
    x = 8,774.77

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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.