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Finding the Fourth Proportional to 8,658.10, 11,946.67 and 5,120.02

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Solution

The fourth proportional to 8,658.10, 11,946.67 and 5,120.02 is: 7,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,658.10 : 11,946.67 = 5,120.02 : x
  2. Step 2: Convert to fraction form
    8,658.10/11,946.67 = 5,120.02/x
  3. Step 3: Cross multiply
    8,658.10x = 11,946.67 × 5,120.02
  4. Step 4: Simplify right side
    8,658.10x = 61,167,191.47
  5. Step 5: Solve for x
    x = 61,167,191.47/8,658.10
  6. Step 6: Final answer
    x = 7,064.74

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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.