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Finding the Fourth Proportional to 11,878.04, 16,381.80 and 8,900.96

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Solution

The fourth proportional to 11,878.04, 16,381.80 and 8,900.96 is: 12,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.04 : 16,381.80 = 8,900.96 : x
  2. Step 2: Convert to fraction form
    11,878.04/16,381.80 = 8,900.96/x
  3. Step 3: Cross multiply
    11,878.04x = 16,381.80 × 8,900.96
  4. Step 4: Simplify right side
    11,878.04x = 145,813,746.53
  5. Step 5: Solve for x
    x = 145,813,746.53/11,878.04
  6. Step 6: Final answer
    x = 12,275.91

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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.