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Finding the Fourth Proportional to 7,784.49, 11,668.64 and 5,830.77

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Solution

The fourth proportional to 7,784.49, 11,668.64 and 5,830.77 is: 8,740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.49 : 11,668.64 = 5,830.77 : x
  2. Step 2: Convert to fraction form
    7,784.49/11,668.64 = 5,830.77/x
  3. Step 3: Cross multiply
    7,784.49x = 11,668.64 × 5,830.77
  4. Step 4: Simplify right side
    7,784.49x = 68,037,126.90
  5. Step 5: Solve for x
    x = 68,037,126.90/7,784.49
  6. Step 6: Final answer
    x = 8,740.09

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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.