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Finding the Fourth Proportional to 7,823.99, 10,790.28 and 7,784.52

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Solution

The fourth proportional to 7,823.99, 10,790.28 and 7,784.52 is: 10,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.99 : 10,790.28 = 7,784.52 : x
  2. Step 2: Convert to fraction form
    7,823.99/10,790.28 = 7,784.52/x
  3. Step 3: Cross multiply
    7,823.99x = 10,790.28 × 7,784.52
  4. Step 4: Simplify right side
    7,823.99x = 83,997,209.88
  5. Step 5: Solve for x
    x = 83,997,209.88/7,823.99
  6. Step 6: Final answer
    x = 10,735.85

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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.