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Finding the Fourth Proportional to 8,066.56, 12,108.32 and 7,148

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Solution

The fourth proportional to 8,066.56, 12,108.32 and 7,148 is: 10,729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066.56 : 12,108.32 = 7,148 : x
  2. Step 2: Convert to fraction form
    8,066.56/12,108.32 = 7,148/x
  3. Step 3: Cross multiply
    8,066.56x = 12,108.32 × 7,148
  4. Step 4: Simplify right side
    8,066.56x = 86,550,271.36
  5. Step 5: Solve for x
    x = 86,550,271.36/8,066.56
  6. Step 6: Final answer
    x = 10,729.51

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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.