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Finding the Fourth Proportional to 7,210.38, 9,951.87 and 4,556.10

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Solution

The fourth proportional to 7,210.38, 9,951.87 and 4,556.10 is: 6,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.38 : 9,951.87 = 4,556.10 : x
  2. Step 2: Convert to fraction form
    7,210.38/9,951.87 = 4,556.10/x
  3. Step 3: Cross multiply
    7,210.38x = 9,951.87 × 4,556.10
  4. Step 4: Simplify right side
    7,210.38x = 45,341,714.91
  5. Step 5: Solve for x
    x = 45,341,714.91/7,210.38
  6. Step 6: Final answer
    x = 6,288.39

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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.