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Finding the Fourth Proportional to 7,176.78, 9,905.85 and 4,345.83

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Solution

The fourth proportional to 7,176.78, 9,905.85 and 4,345.83 is: 5,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.78 : 9,905.85 = 4,345.83 : x
  2. Step 2: Convert to fraction form
    7,176.78/9,905.85 = 4,345.83/x
  3. Step 3: Cross multiply
    7,176.78x = 9,905.85 × 4,345.83
  4. Step 4: Simplify right side
    7,176.78x = 43,049,140.11
  5. Step 5: Solve for x
    x = 43,049,140.11/7,176.78
  6. Step 6: Final answer
    x = 5,998.39

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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.