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Finding the Fourth Proportional to 11,501.92, 15,871.66 and 6,465.76

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Solution

The fourth proportional to 11,501.92, 15,871.66 and 6,465.76 is: 8,922.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,501.92 : 15,871.66 = 6,465.76 : x
  2. Step 2: Convert to fraction form
    11,501.92/15,871.66 = 6,465.76/x
  3. Step 3: Cross multiply
    11,501.92x = 15,871.66 × 6,465.76
  4. Step 4: Simplify right side
    11,501.92x = 102,622,344.36
  5. Step 5: Solve for x
    x = 102,622,344.36/11,501.92
  6. Step 6: Final answer
    x = 8,922.19

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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.