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Finding the Fourth Proportional to 7,653, 11,483.58 and 3,269.45

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Solution

The fourth proportional to 7,653, 11,483.58 and 3,269.45 is: 4,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653 : 11,483.58 = 3,269.45 : x
  2. Step 2: Convert to fraction form
    7,653/11,483.58 = 3,269.45/x
  3. Step 3: Cross multiply
    7,653x = 11,483.58 × 3,269.45
  4. Step 4: Simplify right side
    7,653x = 37,544,988.54
  5. Step 5: Solve for x
    x = 37,544,988.54/7,653
  6. Step 6: Final answer
    x = 4,905.92

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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.