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Finding the Fourth Proportional to 7,805.54, 10,758.78 and 5,815.40

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Solution

The fourth proportional to 7,805.54, 10,758.78 and 5,815.40 is: 8,015.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.54 : 10,758.78 = 5,815.40 : x
  2. Step 2: Convert to fraction form
    7,805.54/10,758.78 = 5,815.40/x
  3. Step 3: Cross multiply
    7,805.54x = 10,758.78 × 5,815.40
  4. Step 4: Simplify right side
    7,805.54x = 62,566,609.21
  5. Step 5: Solve for x
    x = 62,566,609.21/7,805.54
  6. Step 6: Final answer
    x = 8,015.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.