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Finding the Fourth Proportional to 11,353.86, 15,663.42 and 6,506.01

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Solution

The fourth proportional to 11,353.86, 15,663.42 and 6,506.01 is: 8,975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,353.86 : 15,663.42 = 6,506.01 : x
  2. Step 2: Convert to fraction form
    11,353.86/15,663.42 = 6,506.01/x
  3. Step 3: Cross multiply
    11,353.86x = 15,663.42 × 6,506.01
  4. Step 4: Simplify right side
    11,353.86x = 101,906,367.15
  5. Step 5: Solve for x
    x = 101,906,367.15/11,353.86
  6. Step 6: Final answer
    x = 8,975.48

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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.