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Finding the Fourth Proportional to 10,969.40, 16,421.70 and 7,275.80

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Solution

The fourth proportional to 10,969.40, 16,421.70 and 7,275.80 is: 10,892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.40 : 16,421.70 = 7,275.80 : x
  2. Step 2: Convert to fraction form
    10,969.40/16,421.70 = 7,275.80/x
  3. Step 3: Cross multiply
    10,969.40x = 16,421.70 × 7,275.80
  4. Step 4: Simplify right side
    10,969.40x = 119,481,004.86
  5. Step 5: Solve for x
    x = 119,481,004.86/10,969.40
  6. Step 6: Final answer
    x = 10,892.21

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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.