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Finding the Fourth Proportional to 7,800.30, 11,700.45 and 5,613.30

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Solution

The fourth proportional to 7,800.30, 11,700.45 and 5,613.30 is: 8,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.30 : 11,700.45 = 5,613.30 : x
  2. Step 2: Convert to fraction form
    7,800.30/11,700.45 = 5,613.30/x
  3. Step 3: Cross multiply
    7,800.30x = 11,700.45 × 5,613.30
  4. Step 4: Simplify right side
    7,800.30x = 65,678,135.99
  5. Step 5: Solve for x
    x = 65,678,135.99/7,800.30
  6. Step 6: Final answer
    x = 8,419.95

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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.