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Finding the Fourth Proportional to 11,804.45, 17,706.71 and 4,784.58

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Solution

The fourth proportional to 11,804.45, 17,706.71 and 4,784.58 is: 7,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.45 : 17,706.71 = 4,784.58 : x
  2. Step 2: Convert to fraction form
    11,804.45/17,706.71 = 4,784.58/x
  3. Step 3: Cross multiply
    11,804.45x = 17,706.71 × 4,784.58
  4. Step 4: Simplify right side
    11,804.45x = 84,719,146.61
  5. Step 5: Solve for x
    x = 84,719,146.61/11,804.45
  6. Step 6: Final answer
    x = 7,176.89

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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.