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Finding the Fourth Proportional to 10,794.42, 14,895.05 and 6,013.60

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Solution

The fourth proportional to 10,794.42, 14,895.05 and 6,013.60 is: 8,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.42 : 14,895.05 = 6,013.60 : x
  2. Step 2: Convert to fraction form
    10,794.42/14,895.05 = 6,013.60/x
  3. Step 3: Cross multiply
    10,794.42x = 14,895.05 × 6,013.60
  4. Step 4: Simplify right side
    10,794.42x = 89,572,872.68
  5. Step 5: Solve for x
    x = 89,572,872.68/10,794.42
  6. Step 6: Final answer
    x = 8,298.07

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Why These Related Problems?

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