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Finding the Fourth Proportional to 11,421.69, 15,766.29 and 7,443.78

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Solution

The fourth proportional to 11,421.69, 15,766.29 and 7,443.78 is: 10,275.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421.69 : 15,766.29 = 7,443.78 : x
  2. Step 2: Convert to fraction form
    11,421.69/15,766.29 = 7,443.78/x
  3. Step 3: Cross multiply
    11,421.69x = 15,766.29 × 7,443.78
  4. Step 4: Simplify right side
    11,421.69x = 117,360,794.18
  5. Step 5: Solve for x
    x = 117,360,794.18/11,421.69
  6. Step 6: Final answer
    x = 10,275.26

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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.