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Finding the Fourth Proportional to 7,013.64, 10,519.36 and 4,204.04

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Solution

The fourth proportional to 7,013.64, 10,519.36 and 4,204.04 is: 6,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.64 : 10,519.36 = 4,204.04 : x
  2. Step 2: Convert to fraction form
    7,013.64/10,519.36 = 4,204.04/x
  3. Step 3: Cross multiply
    7,013.64x = 10,519.36 × 4,204.04
  4. Step 4: Simplify right side
    7,013.64x = 44,223,810.21
  5. Step 5: Solve for x
    x = 44,223,810.21/7,013.64
  6. Step 6: Final answer
    x = 6,305.40

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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.