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Finding the Fourth Proportional to 10,674.77, 14,730.06 and 6,197.65

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Solution

The fourth proportional to 10,674.77, 14,730.06 and 6,197.65 is: 8,552.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.77 : 14,730.06 = 6,197.65 : x
  2. Step 2: Convert to fraction form
    10,674.77/14,730.06 = 6,197.65/x
  3. Step 3: Cross multiply
    10,674.77x = 14,730.06 × 6,197.65
  4. Step 4: Simplify right side
    10,674.77x = 91,291,725.34
  5. Step 5: Solve for x
    x = 91,291,725.34/10,674.77
  6. Step 6: Final answer
    x = 8,552.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.