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Finding the Fourth Proportional to 7,836.58, 11,765.31 and 4,552.03

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Solution

The fourth proportional to 7,836.58, 11,765.31 and 4,552.03 is: 6,834.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.58 : 11,765.31 = 4,552.03 : x
  2. Step 2: Convert to fraction form
    7,836.58/11,765.31 = 4,552.03/x
  3. Step 3: Cross multiply
    7,836.58x = 11,765.31 × 4,552.03
  4. Step 4: Simplify right side
    7,836.58x = 53,556,041.72
  5. Step 5: Solve for x
    x = 53,556,041.72/7,836.58
  6. Step 6: Final answer
    x = 6,834.11

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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.