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Finding the Fourth Proportional to 11,438.26, 15,785.01 and 6,470.26

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Solution

The fourth proportional to 11,438.26, 15,785.01 and 6,470.26 is: 8,929.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.26 : 15,785.01 = 6,470.26 : x
  2. Step 2: Convert to fraction form
    11,438.26/15,785.01 = 6,470.26/x
  3. Step 3: Cross multiply
    11,438.26x = 15,785.01 × 6,470.26
  4. Step 4: Simplify right side
    11,438.26x = 102,133,118.80
  5. Step 5: Solve for x
    x = 102,133,118.80/11,438.26
  6. Step 6: Final answer
    x = 8,929.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.