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Finding the Fourth Proportional to 10,973.20, 16,465.04 and 5,128.96

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Solution

The fourth proportional to 10,973.20, 16,465.04 and 5,128.96 is: 7,695.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.20 : 16,465.04 = 5,128.96 : x
  2. Step 2: Convert to fraction form
    10,973.20/16,465.04 = 5,128.96/x
  3. Step 3: Cross multiply
    10,973.20x = 16,465.04 × 5,128.96
  4. Step 4: Simplify right side
    10,973.20x = 84,448,531.56
  5. Step 5: Solve for x
    x = 84,448,531.56/10,973.20
  6. Step 6: Final answer
    x = 7,695.89

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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.