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Finding the Fourth Proportional to 8,000.24, 11,041.74 and 7,754.00

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Solution

The fourth proportional to 8,000.24, 11,041.74 and 7,754.00 is: 10,701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.24 : 11,041.74 = 7,754.00 : x
  2. Step 2: Convert to fraction form
    8,000.24/11,041.74 = 7,754.00/x
  3. Step 3: Cross multiply
    8,000.24x = 11,041.74 × 7,754.00
  4. Step 4: Simplify right side
    8,000.24x = 85,617,596.75
  5. Step 5: Solve for x
    x = 85,617,596.75/8,000.24
  6. Step 6: Final answer
    x = 10,701.89

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1.5x scale

Why These Related Problems?

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