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Finding the Fourth Proportional to 7,775.13, 11,654.37 and 3,088.65

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Solution

The fourth proportional to 7,775.13, 11,654.37 and 3,088.65 is: 4,629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.13 : 11,654.37 = 3,088.65 : x
  2. Step 2: Convert to fraction form
    7,775.13/11,654.37 = 3,088.65/x
  3. Step 3: Cross multiply
    7,775.13x = 11,654.37 × 3,088.65
  4. Step 4: Simplify right side
    7,775.13x = 35,996,269.90
  5. Step 5: Solve for x
    x = 35,996,269.90/7,775.13
  6. Step 6: Final answer
    x = 4,629.67

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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.