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Finding the Fourth Proportional to 7,925.74, 11,891.65 and 4,807.97

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Solution

The fourth proportional to 7,925.74, 11,891.65 and 4,807.97 is: 7,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,925.74 : 11,891.65 = 4,807.97 : x
  2. Step 2: Convert to fraction form
    7,925.74/11,891.65 = 4,807.97/x
  3. Step 3: Cross multiply
    7,925.74x = 11,891.65 × 4,807.97
  4. Step 4: Simplify right side
    7,925.74x = 57,174,714.16
  5. Step 5: Solve for x
    x = 57,174,714.16/7,925.74
  6. Step 6: Final answer
    x = 7,213.80

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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.