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Finding the Fourth Proportional to 7,752, 11,633.12 and 3,648.32

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Solution

The fourth proportional to 7,752, 11,633.12 and 3,648.32 is: 5,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752 : 11,633.12 = 3,648.32 : x
  2. Step 2: Convert to fraction form
    7,752/11,633.12 = 3,648.32/x
  3. Step 3: Cross multiply
    7,752x = 11,633.12 × 3,648.32
  4. Step 4: Simplify right side
    7,752x = 42,441,344.36
  5. Step 5: Solve for x
    x = 42,441,344.36/7,752
  6. Step 6: Final answer
    x = 5,474.89

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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.