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Finding the Fourth Proportional to 8,713.92, 13,059.88 and 8,014.08

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Solution

The fourth proportional to 8,713.92, 13,059.88 and 8,014.08 is: 12,011.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.92 : 13,059.88 = 8,014.08 : x
  2. Step 2: Convert to fraction form
    8,713.92/13,059.88 = 8,014.08/x
  3. Step 3: Cross multiply
    8,713.92x = 13,059.88 × 8,014.08
  4. Step 4: Simplify right side
    8,713.92x = 104,662,923.11
  5. Step 5: Solve for x
    x = 104,662,923.11/8,713.92
  6. Step 6: Final answer
    x = 12,011.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.