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Finding the Fourth Proportional to 11,365.92, 15,683.76 and 6,650.40

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Solution

The fourth proportional to 11,365.92, 15,683.76 and 6,650.40 is: 9,176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365.92 : 15,683.76 = 6,650.40 : x
  2. Step 2: Convert to fraction form
    11,365.92/15,683.76 = 6,650.40/x
  3. Step 3: Cross multiply
    11,365.92x = 15,683.76 × 6,650.40
  4. Step 4: Simplify right side
    11,365.92x = 104,303,277.50
  5. Step 5: Solve for x
    x = 104,303,277.50/11,365.92
  6. Step 6: Final answer
    x = 9,176.84

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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.