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Finding the Fourth Proportional to 8,127.11, 12,137.31 and 7,007.67

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Solution

The fourth proportional to 8,127.11, 12,137.31 and 7,007.67 is: 10,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.11 : 12,137.31 = 7,007.67 : x
  2. Step 2: Convert to fraction form
    8,127.11/12,137.31 = 7,007.67/x
  3. Step 3: Cross multiply
    8,127.11x = 12,137.31 × 7,007.67
  4. Step 4: Simplify right side
    8,127.11x = 85,054,263.17
  5. Step 5: Solve for x
    x = 85,054,263.17/8,127.11
  6. Step 6: Final answer
    x = 10,465.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.