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Finding the Fourth Proportional to 7,492, 10,338.96 and 4,180

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Solution

The fourth proportional to 7,492, 10,338.96 and 4,180 is: 5,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492 : 10,338.96 = 4,180 : x
  2. Step 2: Convert to fraction form
    7,492/10,338.96 = 4,180/x
  3. Step 3: Cross multiply
    7,492x = 10,338.96 × 4,180
  4. Step 4: Simplify right side
    7,492x = 43,216,852.80
  5. Step 5: Solve for x
    x = 43,216,852.80/7,492
  6. Step 6: Final answer
    x = 5,768.40

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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.