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Finding the Fourth Proportional to 10,002.94, 13,803.63 and 5,753.68

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Solution

The fourth proportional to 10,002.94, 13,803.63 and 5,753.68 is: 7,939.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.94 : 13,803.63 = 5,753.68 : x
  2. Step 2: Convert to fraction form
    10,002.94/13,803.63 = 5,753.68/x
  3. Step 3: Cross multiply
    10,002.94x = 13,803.63 × 5,753.68
  4. Step 4: Simplify right side
    10,002.94x = 79,421,669.86
  5. Step 5: Solve for x
    x = 79,421,669.86/10,002.94
  6. Step 6: Final answer
    x = 7,939.83

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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.