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Finding the Fourth Proportional to 10,975.20, 16,468.04 and 5,130.96

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Solution

The fourth proportional to 10,975.20, 16,468.04 and 5,130.96 is: 7,698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.20 : 16,468.04 = 5,130.96 : x
  2. Step 2: Convert to fraction form
    10,975.20/16,468.04 = 5,130.96/x
  3. Step 3: Cross multiply
    10,975.20x = 16,468.04 × 5,130.96
  4. Step 4: Simplify right side
    10,975.20x = 84,496,854.52
  5. Step 5: Solve for x
    x = 84,496,854.52/10,975.20
  6. Step 6: Final answer
    x = 7,698.89

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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.