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Finding the Fourth Proportional to 10,002.08, 13,800.84 and 7,351.76

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Solution

The fourth proportional to 10,002.08, 13,800.84 and 7,351.76 is: 10,143.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.08 : 13,800.84 = 7,351.76 : x
  2. Step 2: Convert to fraction form
    10,002.08/13,800.84 = 7,351.76/x
  3. Step 3: Cross multiply
    10,002.08x = 13,800.84 × 7,351.76
  4. Step 4: Simplify right side
    10,002.08x = 101,460,463.48
  5. Step 5: Solve for x
    x = 101,460,463.48/10,002.08
  6. Step 6: Final answer
    x = 10,143.94

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