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Finding the Fourth Proportional to 7,813.52, 10,781.64 and 4,669.04

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Solution

The fourth proportional to 7,813.52, 10,781.64 and 4,669.04 is: 6,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.52 : 10,781.64 = 4,669.04 : x
  2. Step 2: Convert to fraction form
    7,813.52/10,781.64 = 4,669.04/x
  3. Step 3: Cross multiply
    7,813.52x = 10,781.64 × 4,669.04
  4. Step 4: Simplify right side
    7,813.52x = 50,339,908.43
  5. Step 5: Solve for x
    x = 50,339,908.43/7,813.52
  6. Step 6: Final answer
    x = 6,442.67

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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.