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Finding the Fourth Proportional to 7,165.62, 9,890.62 and 4,333

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Solution

The fourth proportional to 7,165.62, 9,890.62 and 4,333 is: 5,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.62 : 9,890.62 = 4,333 : x
  2. Step 2: Convert to fraction form
    7,165.62/9,890.62 = 4,333/x
  3. Step 3: Cross multiply
    7,165.62x = 9,890.62 × 4,333
  4. Step 4: Simplify right side
    7,165.62x = 42,856,056.46
  5. Step 5: Solve for x
    x = 42,856,056.46/7,165.62
  6. Step 6: Final answer
    x = 5,980.79

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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.