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Finding the Fourth Proportional to 11,219.64, 15,478.05 and 6,501.39

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Solution

The fourth proportional to 11,219.64, 15,478.05 and 6,501.39 is: 8,968.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219.64 : 15,478.05 = 6,501.39 : x
  2. Step 2: Convert to fraction form
    11,219.64/15,478.05 = 6,501.39/x
  3. Step 3: Cross multiply
    11,219.64x = 15,478.05 × 6,501.39
  4. Step 4: Simplify right side
    11,219.64x = 100,628,839.49
  5. Step 5: Solve for x
    x = 100,628,839.49/11,219.64
  6. Step 6: Final answer
    x = 8,968.99

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Why These Related Problems?

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