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Finding the Fourth Proportional to 11,422.69, 15,762.99 and 6,386.92

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Solution

The fourth proportional to 11,422.69, 15,762.99 and 6,386.92 is: 8,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.69 : 15,762.99 = 6,386.92 : x
  2. Step 2: Convert to fraction form
    11,422.69/15,762.99 = 6,386.92/x
  3. Step 3: Cross multiply
    11,422.69x = 15,762.99 × 6,386.92
  4. Step 4: Simplify right side
    11,422.69x = 100,676,877.28
  5. Step 5: Solve for x
    x = 100,676,877.28/11,422.69
  6. Step 6: Final answer
    x = 8,813.77

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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.