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Finding the Fourth Proportional to 7,667.84, 10,579.74 and 4,309.98

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Solution

The fourth proportional to 7,667.84, 10,579.74 and 4,309.98 is: 5,946.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.84 : 10,579.74 = 4,309.98 : x
  2. Step 2: Convert to fraction form
    7,667.84/10,579.74 = 4,309.98/x
  3. Step 3: Cross multiply
    7,667.84x = 10,579.74 × 4,309.98
  4. Step 4: Simplify right side
    7,667.84x = 45,598,467.81
  5. Step 5: Solve for x
    x = 45,598,467.81/7,667.84
  6. Step 6: Final answer
    x = 5,946.72

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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.