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Finding the Fourth Proportional to 10,824.48, 14,937.48 and 6,109.20

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Solution

The fourth proportional to 10,824.48, 14,937.48 and 6,109.20 is: 8,430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.48 : 14,937.48 = 6,109.20 : x
  2. Step 2: Convert to fraction form
    10,824.48/14,937.48 = 6,109.20/x
  3. Step 3: Cross multiply
    10,824.48x = 14,937.48 × 6,109.20
  4. Step 4: Simplify right side
    10,824.48x = 91,256,052.82
  5. Step 5: Solve for x
    x = 91,256,052.82/10,824.48
  6. Step 6: Final answer
    x = 8,430.53

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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.