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Finding the Fourth Proportional to 8,838.10, 12,197.76 and 5,703.40

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Solution

The fourth proportional to 8,838.10, 12,197.76 and 5,703.40 is: 7,871.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,838.10 : 12,197.76 = 5,703.40 : x
  2. Step 2: Convert to fraction form
    8,838.10/12,197.76 = 5,703.40/x
  3. Step 3: Cross multiply
    8,838.10x = 12,197.76 × 5,703.40
  4. Step 4: Simplify right side
    8,838.10x = 69,568,704.38
  5. Step 5: Solve for x
    x = 69,568,704.38/8,838.10
  6. Step 6: Final answer
    x = 7,871.45

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Why These Related Problems?

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