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Finding the Fourth Proportional to 10,769.49, 16,048.53 and 10,417.14

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Solution

The fourth proportional to 10,769.49, 16,048.53 and 10,417.14 is: 15,523.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.49 : 16,048.53 = 10,417.14 : x
  2. Step 2: Convert to fraction form
    10,769.49/16,048.53 = 10,417.14/x
  3. Step 3: Cross multiply
    10,769.49x = 16,048.53 × 10,417.14
  4. Step 4: Simplify right side
    10,769.49x = 167,179,783.80
  5. Step 5: Solve for x
    x = 167,179,783.80/10,769.49
  6. Step 6: Final answer
    x = 15,523.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.