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Finding the Fourth Proportional to 7,833.90, 11,752.65 and 2,287.11

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Solution

The fourth proportional to 7,833.90, 11,752.65 and 2,287.11 is: 3,431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.90 : 11,752.65 = 2,287.11 : x
  2. Step 2: Convert to fraction form
    7,833.90/11,752.65 = 2,287.11/x
  3. Step 3: Cross multiply
    7,833.90x = 11,752.65 × 2,287.11
  4. Step 4: Simplify right side
    7,833.90x = 26,879,603.34
  5. Step 5: Solve for x
    x = 26,879,603.34/7,833.90
  6. Step 6: Final answer
    x = 3,431.19

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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.