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Finding the Fourth Proportional to 6,740.94, 10,106.84 and 2,356

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Solution

The fourth proportional to 6,740.94, 10,106.84 and 2,356 is: 3,532.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.94 : 10,106.84 = 2,356 : x
  2. Step 2: Convert to fraction form
    6,740.94/10,106.84 = 2,356/x
  3. Step 3: Cross multiply
    6,740.94x = 10,106.84 × 2,356
  4. Step 4: Simplify right side
    6,740.94x = 23,811,715.04
  5. Step 5: Solve for x
    x = 23,811,715.04/6,740.94
  6. Step 6: Final answer
    x = 3,532.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.