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Finding the Fourth Proportional to 11,564.64, 15,957.49 and 6,782.77

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Solution

The fourth proportional to 11,564.64, 15,957.49 and 6,782.77 is: 9,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.64 : 15,957.49 = 6,782.77 : x
  2. Step 2: Convert to fraction form
    11,564.64/15,957.49 = 6,782.77/x
  3. Step 3: Cross multiply
    11,564.64x = 15,957.49 × 6,782.77
  4. Step 4: Simplify right side
    11,564.64x = 108,235,984.45
  5. Step 5: Solve for x
    x = 108,235,984.45/11,564.64
  6. Step 6: Final answer
    x = 9,359.22

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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.