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Finding the Fourth Proportional to 10,969.32, 16,455.54 and 4,043.28

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Solution

The fourth proportional to 10,969.32, 16,455.54 and 4,043.28 is: 6,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.32 : 16,455.54 = 4,043.28 : x
  2. Step 2: Convert to fraction form
    10,969.32/16,455.54 = 4,043.28/x
  3. Step 3: Cross multiply
    10,969.32x = 16,455.54 × 4,043.28
  4. Step 4: Simplify right side
    10,969.32x = 66,534,355.77
  5. Step 5: Solve for x
    x = 66,534,355.77/10,969.32
  6. Step 6: Final answer
    x = 6,065.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.