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Finding the Fourth Proportional to 11,109.71, 15,305.34 and 7,746.41

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Solution

The fourth proportional to 11,109.71, 15,305.34 and 7,746.41 is: 10,671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,109.71 : 15,305.34 = 7,746.41 : x
  2. Step 2: Convert to fraction form
    11,109.71/15,305.34 = 7,746.41/x
  3. Step 3: Cross multiply
    11,109.71x = 15,305.34 × 7,746.41
  4. Step 4: Simplify right side
    11,109.71x = 118,561,438.83
  5. Step 5: Solve for x
    x = 118,561,438.83/11,109.71
  6. Step 6: Final answer
    x = 10,671.88

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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.