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Finding the Fourth Proportional to 10,003.77, 15,007.49 and 3,430.62

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Solution

The fourth proportional to 10,003.77, 15,007.49 and 3,430.62 is: 5,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.77 : 15,007.49 = 3,430.62 : x
  2. Step 2: Convert to fraction form
    10,003.77/15,007.49 = 3,430.62/x
  3. Step 3: Cross multiply
    10,003.77x = 15,007.49 × 3,430.62
  4. Step 4: Simplify right side
    10,003.77x = 51,484,995.34
  5. Step 5: Solve for x
    x = 51,484,995.34/10,003.77
  6. Step 6: Final answer
    x = 5,146.56

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