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Finding the Fourth Proportional to 11,436.77, 15,782.64 and 6,400.93

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Solution

The fourth proportional to 11,436.77, 15,782.64 and 6,400.93 is: 8,833.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436.77 : 15,782.64 = 6,400.93 : x
  2. Step 2: Convert to fraction form
    11,436.77/15,782.64 = 6,400.93/x
  3. Step 3: Cross multiply
    11,436.77x = 15,782.64 × 6,400.93
  4. Step 4: Simplify right side
    11,436.77x = 101,023,573.86
  5. Step 5: Solve for x
    x = 101,023,573.86/11,436.77
  6. Step 6: Final answer
    x = 8,833.23

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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.