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Finding the Fourth Proportional to 7,013.96, 10,515.40 and 3,502.16

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Solution

The fourth proportional to 7,013.96, 10,515.40 and 3,502.16 is: 5,250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.96 : 10,515.40 = 3,502.16 : x
  2. Step 2: Convert to fraction form
    7,013.96/10,515.40 = 3,502.16/x
  3. Step 3: Cross multiply
    7,013.96x = 10,515.40 × 3,502.16
  4. Step 4: Simplify right side
    7,013.96x = 36,826,613.26
  5. Step 5: Solve for x
    x = 36,826,613.26/7,013.96
  6. Step 6: Final answer
    x = 5,250.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.