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Finding the Fourth Proportional to 7,106.84, 10,667.36 and 2,949.28

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Solution

The fourth proportional to 7,106.84, 10,667.36 and 2,949.28 is: 4,426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.84 : 10,667.36 = 2,949.28 : x
  2. Step 2: Convert to fraction form
    7,106.84/10,667.36 = 2,949.28/x
  3. Step 3: Cross multiply
    7,106.84x = 10,667.36 × 2,949.28
  4. Step 4: Simplify right side
    7,106.84x = 31,461,031.50
  5. Step 5: Solve for x
    x = 31,461,031.50/7,106.84
  6. Step 6: Final answer
    x = 4,426.87

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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.