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Finding the Fourth Proportional to 7,105.84, 10,596.14 and 6,613.36

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Solution

The fourth proportional to 7,105.84, 10,596.14 and 6,613.36 is: 9,861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.84 : 10,596.14 = 6,613.36 : x
  2. Step 2: Convert to fraction form
    7,105.84/10,596.14 = 6,613.36/x
  3. Step 3: Cross multiply
    7,105.84x = 10,596.14 × 6,613.36
  4. Step 4: Simplify right side
    7,105.84x = 70,076,088.43
  5. Step 5: Solve for x
    x = 70,076,088.43/7,105.84
  6. Step 6: Final answer
    x = 9,861.76

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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.