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Finding the Fourth Proportional to 11,291.54, 16,931.21 and 8,966.51

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Solution

The fourth proportional to 11,291.54, 16,931.21 and 8,966.51 is: 13,444.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.54 : 16,931.21 = 8,966.51 : x
  2. Step 2: Convert to fraction form
    11,291.54/16,931.21 = 8,966.51/x
  3. Step 3: Cross multiply
    11,291.54x = 16,931.21 × 8,966.51
  4. Step 4: Simplify right side
    11,291.54x = 151,813,734.29
  5. Step 5: Solve for x
    x = 151,813,734.29/11,291.54
  6. Step 6: Final answer
    x = 13,444.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.