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Finding the Fourth Proportional to 11,804.15, 17,700.57 and 6,875.19

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Solution

The fourth proportional to 11,804.15, 17,700.57 and 6,875.19 is: 10,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.15 : 17,700.57 = 6,875.19 : x
  2. Step 2: Convert to fraction form
    11,804.15/17,700.57 = 6,875.19/x
  3. Step 3: Cross multiply
    11,804.15x = 17,700.57 × 6,875.19
  4. Step 4: Simplify right side
    11,804.15x = 121,694,781.86
  5. Step 5: Solve for x
    x = 121,694,781.86/11,804.15
  6. Step 6: Final answer
    x = 10,309.50

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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.