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Finding the Fourth Proportional to 7,875.81, 11,813.70 and 2,032.41

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Solution

The fourth proportional to 7,875.81, 11,813.70 and 2,032.41 is: 3,048.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.81 : 11,813.70 = 2,032.41 : x
  2. Step 2: Convert to fraction form
    7,875.81/11,813.70 = 2,032.41/x
  3. Step 3: Cross multiply
    7,875.81x = 11,813.70 × 2,032.41
  4. Step 4: Simplify right side
    7,875.81x = 24,010,282.02
  5. Step 5: Solve for x
    x = 24,010,282.02/7,875.81
  6. Step 6: Final answer
    x = 3,048.61

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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.