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Finding the Fourth Proportional to 7,336, 11,002.72 and 2,952.32

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Solution

The fourth proportional to 7,336, 11,002.72 and 2,952.32 is: 4,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,336 : 11,002.72 = 2,952.32 : x
  2. Step 2: Convert to fraction form
    7,336/11,002.72 = 2,952.32/x
  3. Step 3: Cross multiply
    7,336x = 11,002.72 × 2,952.32
  4. Step 4: Simplify right side
    7,336x = 32,483,550.31
  5. Step 5: Solve for x
    x = 32,483,550.31/7,336
  6. Step 6: Final answer
    x = 4,427.96

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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.