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Finding the Fourth Proportional to 10,003.36, 14,996.52 and 6,110.50

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Solution

The fourth proportional to 10,003.36, 14,996.52 and 6,110.50 is: 9,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.36 : 14,996.52 = 6,110.50 : x
  2. Step 2: Convert to fraction form
    10,003.36/14,996.52 = 6,110.50/x
  3. Step 3: Cross multiply
    10,003.36x = 14,996.52 × 6,110.50
  4. Step 4: Simplify right side
    10,003.36x = 91,636,235.46
  5. Step 5: Solve for x
    x = 91,636,235.46/10,003.36
  6. Step 6: Final answer
    x = 9,160.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.