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Finding the Fourth Proportional to 7,875.80, 11,813.68 and 2,031.92

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Solution

The fourth proportional to 7,875.80, 11,813.68 and 2,031.92 is: 3,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.80 : 11,813.68 = 2,031.92 : x
  2. Step 2: Convert to fraction form
    7,875.80/11,813.68 = 2,031.92/x
  3. Step 3: Cross multiply
    7,875.80x = 11,813.68 × 2,031.92
  4. Step 4: Simplify right side
    7,875.80x = 24,004,452.67
  5. Step 5: Solve for x
    x = 24,004,452.67/7,875.80
  6. Step 6: Final answer
    x = 3,047.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.