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Finding the Fourth Proportional to 11,364.18, 15,663.42 and 8,705.76

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Solution

The fourth proportional to 11,364.18, 15,663.42 and 8,705.76 is: 11,999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.18 : 15,663.42 = 8,705.76 : x
  2. Step 2: Convert to fraction form
    11,364.18/15,663.42 = 8,705.76/x
  3. Step 3: Cross multiply
    11,364.18x = 15,663.42 × 8,705.76
  4. Step 4: Simplify right side
    11,364.18x = 136,361,975.30
  5. Step 5: Solve for x
    x = 136,361,975.30/11,364.18
  6. Step 6: Final answer
    x = 11,999.28

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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.