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Finding the Fourth Proportional to 11,422.69, 15,767.67 and 7,444.78

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Solution

The fourth proportional to 11,422.69, 15,767.67 and 7,444.78 is: 10,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.69 : 15,767.67 = 7,444.78 : x
  2. Step 2: Convert to fraction form
    11,422.69/15,767.67 = 7,444.78/x
  3. Step 3: Cross multiply
    11,422.69x = 15,767.67 × 7,444.78
  4. Step 4: Simplify right side
    11,422.69x = 117,386,834.26
  5. Step 5: Solve for x
    x = 117,386,834.26/11,422.69
  6. Step 6: Final answer
    x = 10,276.64

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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.