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Finding the Fourth Proportional to 11,640.42, 16,056.63 and 7,160.58

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Solution

The fourth proportional to 11,640.42, 16,056.63 and 7,160.58 is: 9,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.42 : 16,056.63 = 7,160.58 : x
  2. Step 2: Convert to fraction form
    11,640.42/16,056.63 = 7,160.58/x
  3. Step 3: Cross multiply
    11,640.42x = 16,056.63 × 7,160.58
  4. Step 4: Simplify right side
    11,640.42x = 114,974,783.65
  5. Step 5: Solve for x
    x = 114,974,783.65/11,640.42
  6. Step 6: Final answer
    x = 9,877.20

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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.