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Finding the Fourth Proportional to 8,011.54, 11,056.55 and 5,896.77

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Solution

The fourth proportional to 8,011.54, 11,056.55 and 5,896.77 is: 8,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.54 : 11,056.55 = 5,896.77 : x
  2. Step 2: Convert to fraction form
    8,011.54/11,056.55 = 5,896.77/x
  3. Step 3: Cross multiply
    8,011.54x = 11,056.55 × 5,896.77
  4. Step 4: Simplify right side
    8,011.54x = 65,197,932.34
  5. Step 5: Solve for x
    x = 65,197,932.34/8,011.54
  6. Step 6: Final answer
    x = 8,138.00

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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.