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Finding the Fourth Proportional to 8,328.40, 11,494.08 and 4,792

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Solution

The fourth proportional to 8,328.40, 11,494.08 and 4,792 is: 6,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,328.40 : 11,494.08 = 4,792 : x
  2. Step 2: Convert to fraction form
    8,328.40/11,494.08 = 4,792/x
  3. Step 3: Cross multiply
    8,328.40x = 11,494.08 × 4,792
  4. Step 4: Simplify right side
    8,328.40x = 55,079,631.36
  5. Step 5: Solve for x
    x = 55,079,631.36/8,328.40
  6. Step 6: Final answer
    x = 6,613.47

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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.