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Finding the Fourth Proportional to 7,884.96, 11,833.11 and 4,599.06

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Solution

The fourth proportional to 7,884.96, 11,833.11 and 4,599.06 is: 6,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.96 : 11,833.11 = 4,599.06 : x
  2. Step 2: Convert to fraction form
    7,884.96/11,833.11 = 4,599.06/x
  3. Step 3: Cross multiply
    7,884.96x = 11,833.11 × 4,599.06
  4. Step 4: Simplify right side
    7,884.96x = 54,421,182.88
  5. Step 5: Solve for x
    x = 54,421,182.88/7,884.96
  6. Step 6: Final answer
    x = 6,901.90

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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.