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Finding the Fourth Proportional to 7,746, 11,624.12 and 3,642.32

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Solution

The fourth proportional to 7,746, 11,624.12 and 3,642.32 is: 5,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746 : 11,624.12 = 3,642.32 : x
  2. Step 2: Convert to fraction form
    7,746/11,624.12 = 3,642.32/x
  3. Step 3: Cross multiply
    7,746x = 11,624.12 × 3,642.32
  4. Step 4: Simplify right side
    7,746x = 42,338,764.76
  5. Step 5: Solve for x
    x = 42,338,764.76/7,746
  6. Step 6: Final answer
    x = 5,465.89

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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.