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Finding the Fourth Proportional to 10,973.64, 16,461.69 and 4,400.49

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Solution

The fourth proportional to 10,973.64, 16,461.69 and 4,400.49 is: 6,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.64 : 16,461.69 = 4,400.49 : x
  2. Step 2: Convert to fraction form
    10,973.64/16,461.69 = 4,400.49/x
  3. Step 3: Cross multiply
    10,973.64x = 16,461.69 × 4,400.49
  4. Step 4: Simplify right side
    10,973.64x = 72,439,502.23
  5. Step 5: Solve for x
    x = 72,439,502.23/10,973.64
  6. Step 6: Final answer
    x = 6,601.23

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