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Finding the Fourth Proportional to 10,003.77, 15,002.06 and 3,428.19

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Solution

The fourth proportional to 10,003.77, 15,002.06 and 3,428.19 is: 5,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.77 : 15,002.06 = 3,428.19 : x
  2. Step 2: Convert to fraction form
    10,003.77/15,002.06 = 3,428.19/x
  3. Step 3: Cross multiply
    10,003.77x = 15,002.06 × 3,428.19
  4. Step 4: Simplify right side
    10,003.77x = 51,429,894.93
  5. Step 5: Solve for x
    x = 51,429,894.93/10,003.77
  6. Step 6: Final answer
    x = 5,141.05

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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.