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Finding the Fourth Proportional to 11,875.86, 17,800.02 and 4,475.58

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Solution

The fourth proportional to 11,875.86, 17,800.02 and 4,475.58 is: 6,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.86 : 17,800.02 = 4,475.58 : x
  2. Step 2: Convert to fraction form
    11,875.86/17,800.02 = 4,475.58/x
  3. Step 3: Cross multiply
    11,875.86x = 17,800.02 × 4,475.58
  4. Step 4: Simplify right side
    11,875.86x = 79,665,413.51
  5. Step 5: Solve for x
    x = 79,665,413.51/11,875.86
  6. Step 6: Final answer
    x = 6,708.18

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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.