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Finding the Fourth Proportional to 8,345.70, 12,469.51 and 8,054.98

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Solution

The fourth proportional to 8,345.70, 12,469.51 and 8,054.98 is: 12,035.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,345.70 : 12,469.51 = 8,054.98 : x
  2. Step 2: Convert to fraction form
    8,345.70/12,469.51 = 8,054.98/x
  3. Step 3: Cross multiply
    8,345.70x = 12,469.51 × 8,054.98
  4. Step 4: Simplify right side
    8,345.70x = 100,441,632.55
  5. Step 5: Solve for x
    x = 100,441,632.55/8,345.70
  6. Step 6: Final answer
    x = 12,035.14

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