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Finding the Fourth Proportional to 11,804.09, 17,705.94 and 4,784.04

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Solution

The fourth proportional to 11,804.09, 17,705.94 and 4,784.04 is: 7,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.09 : 17,705.94 = 4,784.04 : x
  2. Step 2: Convert to fraction form
    11,804.09/17,705.94 = 4,784.04/x
  3. Step 3: Cross multiply
    11,804.09x = 17,705.94 × 4,784.04
  4. Step 4: Simplify right side
    11,804.09x = 84,705,925.20
  5. Step 5: Solve for x
    x = 84,705,925.20/11,804.09
  6. Step 6: Final answer
    x = 7,175.98

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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.