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Finding the Fourth Proportional to 11,663.40, 16,095.50 and 6,358.22

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Solution

The fourth proportional to 11,663.40, 16,095.50 and 6,358.22 is: 8,774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.40 : 16,095.50 = 6,358.22 : x
  2. Step 2: Convert to fraction form
    11,663.40/16,095.50 = 6,358.22/x
  3. Step 3: Cross multiply
    11,663.40x = 16,095.50 × 6,358.22
  4. Step 4: Simplify right side
    11,663.40x = 102,338,730.01
  5. Step 5: Solve for x
    x = 102,338,730.01/11,663.40
  6. Step 6: Final answer
    x = 8,774.35

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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.