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Finding the Fourth Proportional to 7,875.81, 11,816.23 and 2,329.19

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Solution

The fourth proportional to 7,875.81, 11,816.23 and 2,329.19 is: 3,494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.81 : 11,816.23 = 2,329.19 : x
  2. Step 2: Convert to fraction form
    7,875.81/11,816.23 = 2,329.19/x
  3. Step 3: Cross multiply
    7,875.81x = 11,816.23 × 2,329.19
  4. Step 4: Simplify right side
    7,875.81x = 27,522,224.16
  5. Step 5: Solve for x
    x = 27,522,224.16/7,875.81
  6. Step 6: Final answer
    x = 3,494.52

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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.