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Finding the Fourth Proportional to 7,875.96, 11,812.26 and 2,329.74

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Solution

The fourth proportional to 7,875.96, 11,812.26 and 2,329.74 is: 3,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.96 : 11,812.26 = 2,329.74 : x
  2. Step 2: Convert to fraction form
    7,875.96/11,812.26 = 2,329.74/x
  3. Step 3: Cross multiply
    7,875.96x = 11,812.26 × 2,329.74
  4. Step 4: Simplify right side
    7,875.96x = 27,519,494.61
  5. Step 5: Solve for x
    x = 27,519,494.61/7,875.96
  6. Step 6: Final answer
    x = 3,494.11

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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.