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Finding the Fourth Proportional to 7,925.30, 11,899.94 and 6,295.06

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Solution

The fourth proportional to 7,925.30, 11,899.94 and 6,295.06 is: 9,452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,925.30 : 11,899.94 = 6,295.06 : x
  2. Step 2: Convert to fraction form
    7,925.30/11,899.94 = 6,295.06/x
  3. Step 3: Cross multiply
    7,925.30x = 11,899.94 × 6,295.06
  4. Step 4: Simplify right side
    7,925.30x = 74,910,836.30
  5. Step 5: Solve for x
    x = 74,910,836.30/7,925.30
  6. Step 6: Final answer
    x = 9,452.11

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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.