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Finding the Fourth Proportional to 10,929.72, 15,078.42 and 6,952.80

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Solution

The fourth proportional to 10,929.72, 15,078.42 and 6,952.80 is: 9,591.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.72 : 15,078.42 = 6,952.80 : x
  2. Step 2: Convert to fraction form
    10,929.72/15,078.42 = 6,952.80/x
  3. Step 3: Cross multiply
    10,929.72x = 15,078.42 × 6,952.80
  4. Step 4: Simplify right side
    10,929.72x = 104,837,238.58
  5. Step 5: Solve for x
    x = 104,837,238.58/10,929.72
  6. Step 6: Final answer
    x = 9,591.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.