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Finding the Fourth Proportional to 8,152.74, 12,199.95 and 7,060.86

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Solution

The fourth proportional to 8,152.74, 12,199.95 and 7,060.86 is: 10,566.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.74 : 12,199.95 = 7,060.86 : x
  2. Step 2: Convert to fraction form
    8,152.74/12,199.95 = 7,060.86/x
  3. Step 3: Cross multiply
    8,152.74x = 12,199.95 × 7,060.86
  4. Step 4: Simplify right side
    8,152.74x = 86,142,138.96
  5. Step 5: Solve for x
    x = 86,142,138.96/8,152.74
  6. Step 6: Final answer
    x = 10,566.04

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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.