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Finding the Fourth Proportional to 7,534.50, 11,304.12 and 3,378

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Solution

The fourth proportional to 7,534.50, 11,304.12 and 3,378 is: 5,068.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.50 : 11,304.12 = 3,378 : x
  2. Step 2: Convert to fraction form
    7,534.50/11,304.12 = 3,378/x
  3. Step 3: Cross multiply
    7,534.50x = 11,304.12 × 3,378
  4. Step 4: Simplify right side
    7,534.50x = 38,185,317.36
  5. Step 5: Solve for x
    x = 38,185,317.36/7,534.50
  6. Step 6: Final answer
    x = 5,068.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.