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Finding the Fourth Proportional to 10,973.63, 16,460.45 and 3,182.51

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Solution

The fourth proportional to 10,973.63, 16,460.45 and 3,182.51 is: 4,773.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.63 : 16,460.45 = 3,182.51 : x
  2. Step 2: Convert to fraction form
    10,973.63/16,460.45 = 3,182.51/x
  3. Step 3: Cross multiply
    10,973.63x = 16,460.45 × 3,182.51
  4. Step 4: Simplify right side
    10,973.63x = 52,385,448.51
  5. Step 5: Solve for x
    x = 52,385,448.51/10,973.63
  6. Step 6: Final answer
    x = 4,773.76

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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.