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Finding the Fourth Proportional to 7,875.87, 11,812.89 and 2,032.02

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Solution

The fourth proportional to 7,875.87, 11,812.89 and 2,032.02 is: 3,047.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.87 : 11,812.89 = 2,032.02 : x
  2. Step 2: Convert to fraction form
    7,875.87/11,812.89 = 2,032.02/x
  3. Step 3: Cross multiply
    7,875.87x = 11,812.89 × 2,032.02
  4. Step 4: Simplify right side
    7,875.87x = 24,004,028.74
  5. Step 5: Solve for x
    x = 24,004,028.74/7,875.87
  6. Step 6: Final answer
    x = 3,047.79

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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.