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Finding the Fourth Proportional to 8,003.52, 11,990.28 and 4,706.76

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Solution

The fourth proportional to 8,003.52, 11,990.28 and 4,706.76 is: 7,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.52 : 11,990.28 = 4,706.76 : x
  2. Step 2: Convert to fraction form
    8,003.52/11,990.28 = 4,706.76/x
  3. Step 3: Cross multiply
    8,003.52x = 11,990.28 × 4,706.76
  4. Step 4: Simplify right side
    8,003.52x = 56,435,370.29
  5. Step 5: Solve for x
    x = 56,435,370.29/8,003.52
  6. Step 6: Final answer
    x = 7,051.32

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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.