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Finding the Fourth Proportional to 7,801.65, 11,687.40 and 6,045.66

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Solution

The fourth proportional to 7,801.65, 11,687.40 and 6,045.66 is: 9,056.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.65 : 11,687.40 = 6,045.66 : x
  2. Step 2: Convert to fraction form
    7,801.65/11,687.40 = 6,045.66/x
  3. Step 3: Cross multiply
    7,801.65x = 11,687.40 × 6,045.66
  4. Step 4: Simplify right side
    7,801.65x = 70,658,046.68
  5. Step 5: Solve for x
    x = 70,658,046.68/7,801.65
  6. Step 6: Final answer
    x = 9,056.81

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Why These Related Problems?

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