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Finding the Fourth Proportional to 7,002.05, 10,492.74 and 3,878.28

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Solution

The fourth proportional to 7,002.05, 10,492.74 and 3,878.28 is: 5,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.05 : 10,492.74 = 3,878.28 : x
  2. Step 2: Convert to fraction form
    7,002.05/10,492.74 = 3,878.28/x
  3. Step 3: Cross multiply
    7,002.05x = 10,492.74 × 3,878.28
  4. Step 4: Simplify right side
    7,002.05x = 40,693,783.69
  5. Step 5: Solve for x
    x = 40,693,783.69/7,002.05
  6. Step 6: Final answer
    x = 5,811.70

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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.