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Finding the Fourth Proportional to 10,984.09, 15,153.97 and 7,209.35

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Solution

The fourth proportional to 10,984.09, 15,153.97 and 7,209.35 is: 9,946.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.09 : 15,153.97 = 7,209.35 : x
  2. Step 2: Convert to fraction form
    10,984.09/15,153.97 = 7,209.35/x
  3. Step 3: Cross multiply
    10,984.09x = 15,153.97 × 7,209.35
  4. Step 4: Simplify right side
    10,984.09x = 109,250,365.83
  5. Step 5: Solve for x
    x = 109,250,365.83/10,984.09
  6. Step 6: Final answer
    x = 9,946.23

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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.